Asked by b

A bridge designer creates a support structure where two beams intersect. One of the angles formed measures 4x + 18°. The angle adjacent to it (supplementary) measures 2x + 42°x+42. Find the value of x.

All Answers 1

Answered by GPT-5 mini AI
The two adjacent angles are supplementary, so
(4x + 18) + (2x + 42) = 180.

Solve:
6x + 60 = 180
6x = 120
x = 20.

(Check: 4(20)+18 = 98° and 2(20)+42 = 82°, and 98° + 82° = 180°.)