Angle Addition and Bisector

Tags

CCSS.HSG.CO.C.9

JHK is 52. Find the measures of angles GHK and GHJ.

• m∠GHK=52, m∠GHJ=104

• m∠GHK=104, m∠GHJ=52

• m∠GHK=26, m∠GHJ=26

• m∠GHK=52, m∠GHJ=26

Answer explanation

"bisects" means that it makes two EQUAL angles, so if one part is 52, then the other part is also 52!

To get the whole, we use angle addition to do 52+52=104

Tags

CCSS.HSG.CO.C.9

• x=3/17
• x=9
• x=3
• x= -3

Answer explanation

9x=8x+3

Tags

CCSS.HSG.CO.C.9

• x = 118
• x = 108
• x = 28
• x = 58

Answer explanation

The angles are supplementary, so they add up to 180! 180-62=118

Tags

CCSS.7.G.B.5

Find m∠EFG

• 37°

• 18°

• 56°

• 19°

Answer explanation

Part + part = whole

37 + 19 = 56

Tags

CCSS.7.G.B.5

Find m∠A.

• 25°

• 30°

• 35°

• 90°

Answer explanation

These angles are complementary, so they should add up to 90.

90 - 65 = 25

OR

65 + x = 90

Tags

CCSS.7.G.B.5

• 50°

• 58°

• 115°

• 226°

Answer explanation

Part + part = whole

88 + ? = 138

∠NME = 50

Tags

CCSS.4.MD.C.7

If m∠ABC = 103° find x.

Answer explanation

Part + part = whole

3x + 1 + 4x - 3 = 103

7x - 2 = 103

Tags

CCSS.HSG.CO.C.9

Given m∠QST = 135°, find the value of x.

• x = 26

• x = 28

• x = 27

• x = 29

Answer explanation

Part + part = whole

3x + 1 + 2x - 6 = 135

7x - 5 = 135

Tags

CCSS.7.G.B.5

Solve for x

• x = 6

• x = 7

• x = 12

• x = 144

Answer explanation

Part + part = whole

3x + 5 + 21x + 3 = 176

24x + 8 = 176

Tags

CCSS.7.G.B.5