Question

What is the measure of the missing angle in the figure below?

A. 82
B. 81
C. 80
D. 79

Answer 1

it is b even though you posted this 2 days ago

Answer 2

Answer: The correct option is (B) 81°.

Step-by-step explanation: We are given to find the measure of the missing angle of the quadrilateral shown in the figure.

The measures of three angles of the quadrilateral are 65°, 78° and 136°.

To find the value of x, the measure of the fourth angle.

We know that

the sum of the measures of four angles of a quadrilateral is 360°. so, we must have

`65^\circ+78^\circ+136^\circ+x=360^\circ\\\\\Rightarrow 279^\circ+x=360^\circ\\\\\Rightarrow x=360^\circ-279^\circ\\\\\Rightarrow x=81^\circ.`

Thus, the measure of the missing angle is 81°.

Option (B) is CORRECT.