Two opposite angles of a parallelogram are (3x-2)° and (50-x)°. Find the measure of each angle of the parallelogram.

Question

Two opposite angles of a parallelogram are (3x-2)&#xB0; and (50-x)&#xB0;. Find the measure of each angle of the parallelogram.

Philoid · Accepted Answer

Given,

Two opposite angles of a parallelogram (3x - 2) and (50 – x)

Opposite angles of a parallelogram are equal,

3x – 2 = 50 – x

4x = 52^∘

X = 13^∘

So, angles are

3x – 2 = 3×13-2 = 37^∘

50 – x = 50 -13 = 37^∘

Sum of other two angles = 360 - 2×37 = 360 – 74 = 286^∘

So each angle will be = ^∘