Question

Find the value of x and y in the given figure. ​

Answer 1

• Value of x is 120°.
• Value of y is 60°.

Step-by-step explanation:

To find:-

• Value of x and y.

Solution:-

Given triangle is an equilateral triangle because it's all sides are equal.

We know,

Measure of all angles of an equilateral triangle is 60°.

So, Measure of ∠1 will be 60°.

Sum of all angles forms on straight line is equal to 180°. We can also say $\blue{ \sf \bold{Linear \: pair}}$.

$\leadsto$ x + 60° = 180°

$\leadsto$ x = 180° - 60°

$\leadsto$ x = 120°

Now,

∠1 = y = 60° [By Vertically opposite angle]

Therefore,

Value of x is 120° and y is 60°.

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Let's read more about triangles :-

Triangles are polygons which consists of three sides and three angles. Sum of all angles of triangle is equal to 180°.

Types of triangle:-

1. Equilateral triangle :- In this triangle all sides are equal and all angles are all to 60°.
2. Isosceles triangle :- In this triangle two sides are equal and two angles are equal.
3. Scalene triangle :- In this all angles and sides of triangle are unequal.
4. Right angle triangle :- In this triangle one angle is of 90° and other two angles are acute angles.