1(1,4)$1(obtuse)$2(acute)$3(straight)$4(right)$5(XPY)$6(REQ)$7(JQK)$8(EOF)$9(between 90Ñ and 180Ñ)$10(between 0Ñ and 90Ñ)$11(180Ñ)$12(90Ñ)
2(1e4+)3(2e4m5+)4(2e1+4m5+)5(2e2+4m5+)6(2e4+)
Choose the $1 angle."G\ANGROUP.38.23j0,22i2Choose the $1 angle."G\ANGROUP.38.23+0,+23Angle $2 is the $1 angle becauseit measures $6.p
╢$2╢$3╢$4╢$5
1(1,4)10(1,3)$1(straight)$2(obtuse)$3(acute)$4(right)$5(FPE)$6(CRH)$7(DRG)$8(EQH)$9(DRH)$10(CRG)$13(FQH)$14(DRC)$15(HRG)$17(FPG)$18(EPG)$22(between 90Ñ and 180Ñ)$23(between 0Ñ and 90Ñ)$21(180Ñ)$24(90Ñ)n(1e10*=12)
What type of angle is ╢$30?"G\CONST1.32.18i2What type of angle is ╢$30?"G\CONST1.32.18+0,+18By inspection, we can see that ╢$30measures $6.pIt is #if(1=2)an#endif#if(1=3)an#endif#if(1=1)a#endif#if(1=4)a#endif $2 angle.
$2$3$4$5
1(4,9)
1(1e5*)2(90e1-)
Find the complement of an angle thatmeasures 1Ñ. ? Ñi1aFind the complement of an angle thatmeasures 1Ñ.2Ñ is the complement of 1Ñ.p590Ñ - 1Ñ = 2Ñ15and51Ñ + 2Ñ = 90Ñ
2_No, that's incorrect. Try again.HINT: Two angles are complementary if theirsum is 90Ñ.
1(20,35)
1(1e5*)2(180e1-)
Find the supplement of an angle thatmeasures 1Ñ. ? Ñi1aFind the supplement of an angle thatmeasures 1Ñ.2Ñ is the supplement of 1Ñ.p5180Ñ - 1Ñ = 2Ñ15and5 1Ñ + 2Ñ = 180Ñ
2_No, that's incorrect. Try again.HINT: Two angles are supplementary iftheir sum is 180Ñ.
3(3,6)$1(supplementary)$2(complementary)$3(╢POR and ╢ROT)$4(╢POS and ╢SOT)$5(╢POR and ╢ROQ)$6(╢QOS and ╢SOT)$10(OR)$11(OS)$12(OR)$13(OS)$20(straight)$21(right)
11(3e2-D0d)6(11e19+)4(2e11-1+)5(1e3e2m-10+)
"G\CONST6.31.16+0,+17Assume ╢POT is a straight angle.Are $3 complementary or supplementary?i2"G\CONST6.31.16+0,+17Are $3 complementary or supplementary?The ray $5-2,-1"G\RARR.3.1+2,+1 divides a $6 angle,so $3 are $11 angles.p
$11$4
1(2,9)$49(Find the measure of this angle in degrees.) n(1=7)
2(360e1/)
$49511 of a circle ? Ñi1a$49511 of a circleThere are 360Ñ in one complete circle, therefore,to find 11 of a circle, multiply 11 times 360Ñ.511 of a circle = 11 ÿ 360Ñ = 2ÑpThere are c22Ñc0 in 11 of a circle.
2
1(40,70)2(1,3)$1(FOG)$2(FOH)$3(EOH)
3(180e1-)
"G\ANGS243.23.23+0,+23If ╢EOG is 1Ñ, find the measure of ╢$2.╢$2 = ? ÑiT11a"G\ANGS243.23.23+0,+23If ╢EOG is 1Ñ, find the measure of ╢$2.╢EOG and ╢$2 are #if(2=2)vertical#elsesupplementary#endif angles,so the measure of ╢$2 is #if(2=2)1#else3#endifÑ.p
#if(2=2)1#else3#endif_No, that's incorrect. Try again.HINT: Use the property of #if(2=2)vertical#elsesupplementary#endif angles.
"G\ANGS244.27.18+0,+19In the figure above find the measure of ╢$1.╢$1 = ? ÑiT11a"G\ANGS244.27.18+0,+19╢$1 and ╢$2 are $3 so themeasure of ╢$1 is #if(1=1)55#endif#if(1=2)90#endif#if(1=3)35#endif#if(1=4)55#endif#if(1>4)90#endifÑ.p
#if(1=1)55#endif#if(1=2)90#endif#if(1=3)35#endif#if(1=4)55#endif#if(1>4)90#endif_No, that's incorrect. Try again.HINT: Use the property of $4 angles.
1(1,5) $1(ABY)$2(CBY)$3(ABY)$4(BYZ)$5(BYX)$6(CBY)$7(BYZ)$8(BYX) $11(BYZ)$12(BYX)$13(ZYB)$14(BYX)$15(ABY)$16(BYZ)$17(BYX)$18(ABY) $20(and they are)$21(but they are not)$22(have)$23(do not have)
11(1e10+)2(1e4/z20+)3(2e2+)
"G\SD9232.31.17 A X B 60Ñ Q P Y C ZIf "G\BARR.3.1AC is parallel to "G\BARR.3.1XZ, do ╢$1 and ╢$11have the same measure?i3"G\SD9232.31.17 A X B 60Ñ Q P Y C ZIf "G\BARR.3.1AC is parallel to "G\BARR.3.1XZ, do ╢$1 and ╢$11have the same measure?We know that alternate interior angles have thesame measure. ╢$1 and ╢$11 are both interiorangles, $2 alternate interior angles.Therefore, they $3 the same measure.p
"G\SD9232.31.17 A X B 60Ñ Q P Y C ZIf "G\BARR.3.1AC is parallel to "G\BARR.3.1XZ, does ╢$1 measure 120Ñ?i3"G\SD9232.31.17 A X B 60Ñ Q P Y C ZIf "G\BARR.3.1AC is parallel to "G\BARR.3.1XZ, does ╢$1 measure 120Ñ?We know that alternate interior angles and vertical angleshave the same measure and that ╢CBQ measures 60Ñ. ╢CBQ'ssupplementary angles, ╢ABQ and ╢CBY, measure 120Ñ. ╢CBYand ╢BYX are alternate interior angles and ╢BYX and ╢PYZare vertical angles, so ╢BYX and ╢PYZ also measure 120Ñ.p╢$1 #if(5=10)does#elsedoes not#endif have measure 120Ñ.