Math, asked by chicagosingless887, 1 year ago

Three angles of a quadrilateral are 34°, 70° and 126°. Find the fourth angle.

Answers

Answered by puja77
33
heya here is your answer

we know that the sum of angles of a quadrilateral is 360 degree

let the fourth angle = x

34 + 70 + 126 + x = 360

x + 230 = 360 \\  =   > x = 360 - 230 = 130


hope it helps you
Answered by Agastya0606
2

Given:

Three angles of a quadrilateral are 34°, 70° and 126°.

To find:

The fourth angle.

Solution:

The fourth angle is 130°.

To answer this question, we need to follow the following steps:

First of all, we should know that in a quadrilateral having four angles, angle a, angle b, angle c and angle d, the sum of all angles is equal to 360°.

This means,

angle a + angle b + angle c + angle d = 360°

Now,

as given, we have,

Three angles of a quadrilateral = 34°+ 70° + 126°

Let the measure of the fourth angle be x°.

So,

34° + 70° + 126° + x = 360°

230° + x = 360°

x = 130°

Hence, the measure of the fourth angle is 130°.

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