Plus can anyone solve the 11th one
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AB = AC (given)
so, ∠ACB = ∠ABC (the angles which are opposite to equal sides of a triangle are also equal with one another)
Let, ∠ABC = x°
therefore, ∠ACB = ∠ABC = x°
In ∆ABC,
∠ABC + ∠ACB + ∠BAC = 180°
or, x° + x° + 50° = 180°
or, 2x° = 130°
or, x° = 65°
So, ∠ACB = 65° and ∠ABC = 65°
Now LM is parallel to BC.
So, ∠ALM = 65° and ∠AML = 65° [CORRESPONDING ANGLES ARE ALWAYS EQUAL TO EACH OTHER]
Finally, we can say that,
∠AML + ∠CML = 180° (since the sum of all angles on the same straight line with a common vertex = 180°)
or, ∠CML = 180° - 65° = 115° [ANS.]
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This is a question of triangle
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