Question

If the angles of a quadrilateral are (2x+9)⁰ , (x+2), (3×+8)⁰ and (4+5)⁰ What is the measure of largest interior angle of the quadrilateral?​

Answer 1

Step-by-step explanation:

Given:The angles of a quadrilateral are (2x+9)⁰ , (x+2)°, (3x+8)⁰ and (4x+5)⁰.

To find:What is the measure of largest interior angle of the quadrilateral?

Solution:

As,

According to angle sum property of Quadrilateral, sum of interior angles is 360°.

$2x + 9 + x + 2 + 3x + 8 + 4x + 5 = 360 \\ \\ 10x + 24 = 360 \\ \\ 10x = 360 - 24 \\ \\ 10x = 336 \\ \\ x = \frac{336}{10} \\ \\ x = 33.6$

So,

Angles of Quadrilateral are

$2x + 9 = 2 \times 33.6 + 9 =76.2 \\ \\ x + 2 = 33.6 + 2 = 35.6 \\ \\ 3x + 8 = 3 \times 33.6 + 8 = 108.8 \\ \\ 4x + 5 = 4 \times 33.6 + 5 = 139.4$

Thus,

The largest interior angle is 139.4°

Hope it helps you.

To learn more on brainly:

What is the measure of the largest angle of a quadrilateral whose angles are in the ratio 3:4:5:6?

https://brainly.in/question/11988961