## Each of the two equal angles of an isosceles triangle is twice the third angle.Find the angles of the triangle.​

Question

Each of the two equal angles of an isosceles triangle is twice the third angle.Find the angles of the triangle.​

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1 month 2021-08-18T13:23:29+00:00 2 Answers 2 views 0

1. ### Question:༶•┈┈⛧┈♛

Each of the two equal angles of an isosceles triangle is twice the third angle.Find the angles of the triangle.

### Solution:｡.｡:∞♡*♥

Let the third angle be x.

so, the other equal angle = twice the third angle

= 2x.

### Given:⋇⋆✦⋆⋇

• First angle = 2x
• Second angle = 2x
• Third angle = x

then, ☆♬○♩●♪✧♩

Sum of the angle of the triangle = 180°

2x + 2x + x = 180°

5x = 180°

x = 180/5

x = 36°

so,

1st angle = 2x

= 2×36

= 72°

◒ 2nd angle = 1st angel

= 72°

◒ 3rd angle = x

= 36°

### To verify:-: ✧ :-゜・．

Sum of all angles of triangle = 180°

72° + 72° + 36° = 180°

180° = 180°

### Analysis:»»————>

we have to let the third angle be x, and the other equal angel is given that the twice the third. so, the equal angle is 2x.

### Formula used in this solution:♬♩♪♩ ♩♪♩♬

The sum of all angles of triangle = 180°