Find Missing Angles Quick Check 4 of 54 of 5 Items 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 31° 31 degrees 124° 124 degrees 48°

Answer 1

The correct answer is 132°.

Since the two angles are supplementary, we can set up the equation:

m∠D + m∠E = 180°
(4x+8) + (x+17) = 180
5x + 25 = 180
5x = 155
x = 31

Therefore, m∠D = 4(31) + 8 = 132°
And since ∠F is a vertical angle with ∠D, the measure of ∠F is also 132°.