Segment Angle Addition

Find NP.

• 17

• 39

• 6

• 56

Use the figure to write and solve an equation for x.

• 5

• 6

• 7

• 8

• x = 118
• x = 108
• x = 28
• x = 58

Solve for x

• 5

• 90

• 25

• 10

Find the value of ∠A.

• 25 degrees

• 115 degrees

• 35 degrees

• 90 degrees

Find m∠ABC.

• 45°

• 60°

• 105°

• 15°

Find m∠EFG

Mathematical Equivalence

ON

• 50°

• 58°

• 115°

• 226°

Answer explanation

Use Angle Addition Postulate

m∠NME + m∠ EML = m∠NML

m∠NME + 88 = 138

m∠NME = 138 - 88

m∠NME = 50

If m∠ABC = 103° find x.

Answer explanation

Use Angle Addition Postulate

m∠ABD + m∠ DBC = m∠ABC

3x + 1 + 4x - 3 = 103

7x - 2 = 103

7x = 105

x = 15

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

• x = 26

• x = 28

• x = 27

• x = 29

Answer explanation

Use Angle Addition Postulate

m∠QRS + m∠ RST = m∠QST

3x + 1 + 2x - 6 = 135

5x - 5 = 135

5x = 140

x = 28