Question

Extra P./Geometry Help quick! Thanks In Advance :)

Answer 1

The measure of angle C is 89 degrees.

Step-by-step explanation:

The given polygon ABCD is a quadrilateral.

The property of a quadrilateral :

The sum of the consecutive angles add to 180°.

In this quadrilateral, the angles B and C are consecutive angles. So, the sum of angle B and angle C is equal to 180 degree.

Given that,

• The measure of angle B = 2x+3
• The measure of angle C = 2x+1

To find the value of x :

m∠B + m∠C = 180

(2x+3) + (2x+1) = 180

4x + 4 = 180

4x = 180 - 4

4x = 176

x = 176/4

x = 44

To find m∠C :

m∠C = 2x + 1

⇒ 2(44)+1

⇒ 88+1

⇒ 89°

The measure of angle C is 89 degrees.