Three angles of a quadrilateral are 34°, 70° and 126°. Find the fourth angle.
Answers
Answered by
33
heya here is your answer
we know that the sum of angles of a quadrilateral is 360 degree
let the fourth angle = x
hope it helps you
we know that the sum of angles of a quadrilateral is 360 degree
let the fourth angle = x
hope it helps you
Answered by
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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