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Find x from the following:"

Given :

$∠A = 70°$ and $∠ACD = 135°$

To do :

We have to find the value of x.

Solution :

We know that,

The sum of the angles in a triangle is 180°.


The sum of the angles on a straight line is 180°.

Therefore,

$∠ACD + ∠ACB = 180°$

$135° + ∠ACB = 180°$

$∠ACB = 180° - 135°$

$∠ACB = 45°$

In triangle ABC,

$∠A + ∠B + ∠C = 180°$

$70° + ∠B + 45° = 180°$

$∠B = 180° - 115°$

$∠B = 65°$

Therefore,  $∠B = 65°$.

The value of x is 65°.


Updated on: 10-Oct-2022

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