Question

two adjust angle of parallelogram are 3x-4 and 3x+10 .find the angle
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Answer 1

Step-by-step explanation:

We know that adjacent angles of a parallelogram are equal.

So, (3x – 4)° + (3x + 10)° = 180°

3x° + 3x° – 4 + 10 = 180°

6x = 180° – 6°

x = 174°/6

= 29°

Measure of adjacent angles are,

(3x – 4)° = 3×29 – 4 = 83°

(3x + 10)° = 3×29 + 10 = 97°

We know that Sum of adjacent angles = 180°

∴ Measure of each angle is 83°, 97°, 83°, 97°.