Question

What is the measure of angle D?

52
54
57
126

Answer 1

Answer: 52

Explanation:

Answer 2

Answer:
`52^(\circ)`

Explanation:

We know that the sum of a ll the angles of a quadrilateral is 360 degrees.

Then for the given trapezoid, applying the angle sum property of quadrilateral we get

`\angle{A}+\angle{B}+\angle{C}+\angle{D}=360^(\circ)\\\\\Rightarrow\ 128^(\circ)+126^(\circ)+54^(\circ)\angle{D}=360^(\circ)\\\\\Rightarrow\ \angle{D}=360-128-126-54\\\\\Rightarrow\ \angle{D}=360-308\\\\\Rightarrow\ \angle{D}=52^(\circ)`

Hence, The measure of angle D =
`52^(\circ)`