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Maths-

General

Easy

Question

In the given figure, $straight angle straight B colon straight angle straight C equals 2$ : 3. Find $straight angle straight B$ .

hint Hint:

Find ∠C in terms of ∠B using the given ratio . We know that in a triangle, the exterior angle is always equal to the sum of the interior opposite angles .

The correct answer is: ∠ B = 52°

Step 1:-Find ∠C in terms of ∠B using the given ratio
Given ,∠B :∠C = 2:3
Then ∠C = $3 over 2 straight angle B$
Step 2:- Find ∠B
We know that in a triangle, the exterior angle is always equal to the sum of the interior opposite angles.
∠B +∠C = 130°
∠B + $3 over 2 straight angle B$ = 130°
$5 over 2 straight angle B$ = 130° $not stretchy rightwards double arrow straight angle B equals 2 over 5 cross times space 130 to the power of ring operator equals space 2 space cross times space 26 equals 52 to the power of ring operator$
∴∠B =52°

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