Mathematics: What is the measure of the missing angle in the figure below? a. 82 b. 81 c. 80 d. 79

The answer is -3,1 the second quadrant is -,+...

What is the measure of the missing angle in the figure

weeblordd

15.03.2022

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.

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