Find the measure of ∠e, if m∠g = x + 17 and m∠f = 4x + 3. Answer choices: 131 49 4.6 15

Step-by-step explanation:

→ We know that co-interior angles add up to 180°, so we can set up an equation

x + 17 + 4x + 3 = 180

→ Collect the x terms

5x + 17 + 3 = 180

→ Collect the integers

5x + 20 = 180

→ Minus 20 from both sides to isolate 5x

5x = 160

→ Divide both sides by 5 to isolate x

x = 32

⇒ Now we know the value of x, we can substitute it in back into  m∠f because we know angles on a straight line add up to 180°

4x + 3 when x = 32 ⇔ 4 × 32 + 3 ⇔ 128 + 3 ⇔ 131