Question

If there are two supplementary angles, ∠D
and ∠E
, where m∠D=(4x+8)°
and m∠E=(x+17)°
, and ∠F
is a vertical angle with ∠D
, what is the measure of ∠F
?



(1 point)
Responses

132°

132 degrees

124°

124 degrees

48°

48 degrees

31°

Answer 1

Supplementary means their measures add to 180:
(4x + 8) + (x + 17) = 180
5x + 25 = 180 → 5x = 155 → x = 31.

m∠D = 4(31) + 8 = 132°. ∠F is vertical to ∠D, so m∠F = m∠D = 132°.

Answer: 132°.