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In the following figure, find the value of x:

In the figure, find the value of x. Triangles, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

Triangles

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Answer

Since, △ABC is an isosceles triangle with AB = AC.

∴ ∠B = ∠C = y°

Sum of angles of triangle = 180°.

⇒ 50° + y° + y° = 180°

⇒ 50° + 2y° = 180°

⇒ 2y° = 180° - 50° = 130°.

⇒ y° = 65°.

From figure,

⇒ x° + y° = 180°

⇒ x° + 65° = 180°

⇒ x° = 180° - 65° = 115°.

Hence, x = 115°.

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