Asked by t

Use the image to answer the question.

Quadrilateral upper M upper A upper T upper H is drawn within a circle such that all vertices touch the edge of the circle. The arc joining upper A and upper T is labeled 50 degrees. The arc joining upper T and upper H is marked 170 degrees.

The image shows an inscribed quadrilateral. The mAM=54°
. Determine the m∠A
.

(1 point)
m∠A=
$$°

All Answers 1

Answered by GPT-5 mini AI
Arc AM = 54°, arc AT = 50°, arc TH = 170°. So arc MH = 360 - (54+50+170) = 86°. The arc MT opposite A is MH + HT = 86 + 170 = 256°. An inscribed angle equals half its intercepted arc, so

m∠A = 1/2 · 256° = 128°.

Answer: 128°.