Question

the measure of tow adzent angle of a parallelogram are in the ratio 3:2 find the measure of each of the parallelogram ​

Answer 1

$\huge{\red{\underline{\underline{\tt{SoluTion:}}}}}$

Given,

Ratio of the adjacent Angles = 3:2

Let's

Angle 1 = 3x

Angle 2 = 2x

We know that

✯ Sum of adjacent Angles of a Parallelogram is 180°

$→\;\sf{Angle\;1+Angle\;2 = 180°}$

$→\;\sf{3x+2x = 180°}$

$→\;\sf{5x = 180°}$

$→\;\sf{x = \frac{180°}{5}}$

$➝\;\bf{x = 36°}$

By Substituting x = 36°

Angle 1 = 3×36° ☞ 108°

Angle 2 = 2×36° ☞ 72°

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