Answer:
[tex]\boxed{131}[/tex]
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
