Question

Solve anyone Subquestions from following:□ABCD is a
parallelogram.
The ratio of LA & LB of
this
parallelogram is 5:4 find the measure of LB.
​

Answer 1

$\huge \mathscr{\orange {\underline{\pink{\underline {Answer:-}}}}}$

GIVEN :-

ABCD is a Parallelogram

let ∠A and ∠B be 5x and 4x

=> The 5x and 4x Comes From 5:4

TO FIND :-

Measure of ∠B

SOLUTION :-

Adjacent angles of a parallelogram are supplementary,

∠A + ∠B = 180°

Therefore,

5x + 4x = 180°

=> 9x = 180°

=> x = 20°

Hence,

Measure of ∠B = 4x = 4 × 20° = 80°

Thus,

The Measure of ∠B = 80°.

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