Question

*If measures of adjacent angles of a parallelogram are in the ratio 4:5 then find the measures of those angles.*​

Answer 1

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⇒ If measures of adjacent angles of a parallelogram are in the ratio 4:5 then find the measures of those angles.

$\huge \red{ \fbox \blue{ \fbox \mathtt \green{Given :-}}}$

⇒  Ratio of measure of adjacent angles of a parallelogram

   = 4 : 5

$\huge \red{ \fbox \blue{ \fbox \mathtt \green{To\:Find :-}}}$

⇒  The measures of those adjacent angles.

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⇒ Let the first angle be ∠A and second one be ∠B

(According to the ratios their measure) :-

∠A = 4x°

∠B = 5x°

⇒ As we know that adjacent angles of a parallelogram are supplementary.

→ 4x° + 5x° = 180°

→ 9x° = 180°

→ $x = \frac{180}{9}$

→ 20 °

_____

⇒ Now , find their actual measure

∠ A = 4x°

= 4 × 20

= 80°

_____

∠B = 5x°

= 5 × 20

= 100°