Question

find values if x and y in this​

Answer 1

Answer:

x° = 80°

y° = 50°

Step-by-step explanation:

∠SRT = ∠R = 80°              [Vertically Opposite Angles]

x° = 80°

By angle sum property,

∠S + ∠T + ∠SRT = 180°

50° + y° + x° = 180°

50° + y° + 80° = 180°

130° + y° = 180°

y° = 180° - 130°

y° = 50°

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Answer 2

★ How to do :-

Here, we are given with a diagram consisting of a triangle in which it's two rays extends upwards and form an angle measuring 80°. The other angle of the triangle measures 50°. There are two angles which are named as x and y. We should find the value of those angles in this question. Here, we are going to use the concepts of vertically opposite angles and the sum of all the angles in triangle. So, let's solve!!

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➤ Solution :-

Value of ∠x :-

We know that the vertically opposite angles are always equal to each other. So, this angle also measures the same as the extended ray of angle.

${\tt \leadsto \orange{\boxed{\tt \angle{x} = {80}^{\circ}}}}$

Value of ∠y :-

${\tt \leadsto 50 + 80 + y = {180}^{\circ}}$

${\tt \leadsto 130 + y = {180}^{\circ}}$

${\tt \leadsto y = 180 - 130}$

${\tt \leadsto \orange{\boxed{\tt \angle{y} = {50}^{\circ}}}}$

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More to know :-

• In triangle, all the angles together measures 180°. There are three types of triangle, they are :-

1. Equilateral triangle :- The triangle which has all the sides as equal is called as equilateral triangle.
2. Isosceles triangle :- The triangle which has two sides equal and the other side measures differently.
3. Scalene triangle :- The triangle which has all the sides as equal is called a scalene triangle.