Question

The measures of the interior angles of a quadrilateral are 2x + 10, 3x, 3x + 5, and 5x + 20. What is the measure of the largest angle?

Answer 1

Explanation:

Finding the angles of quadrilateral:

Sum of all angles of quadrilateral = 360

2x + 10 + 3x + 3x + 5 + 5x +20 =360

2x + 3x + 3x + 5x + 10 + 5 + 20 = 360

Combine like terms

13x + 35 = 360

Subtrace 35 from both sides

13x = 360 - 35

13x = 325

Divide both sides by 13

x = 325/13

x = 25

5x +20 = 5*25 +20

= 125 +20

= 145°

Measeure of largest angle : 145°