Question

Quadrilateral abcd has the following angle measures: m���a = 112��, m���b = 130��, m���c = ?��, m���d = 90��. What is the measure of angle c?

1) 28��
2) 152��
3) 208��
4) 332��

Answer 1

To find the measure of angle C in quadrilateral ABCD, you subtract the sum of known angles A, B, and D from 360°. The measure of angle C is 28°, corresponding to option 1).

Step-by-step explanation:

You are looking to find the measure of angle C in quadrilateral ABCD. The sum of the angles in any quadrilateral is 360°, so to find the measure of angle C, you can subtract the known angles from 360°:

1. Add up the measures of angles A, B, and D: 112° + 130° + 90° = 332°.
2. Subtract the sum of the known angles from the total degrees in a quadrilateral: 360° - 332°.
3. The result is the measure of angle C: 360° - 332° = 28°.

Therefore, the measure of angle C is 28°, which corresponds to option 1).