Each of the two equal angles of an isosceles triangle is twice the third angle.Find the angles of the triangle.
Answers
Answer:
Answer is 36°.
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°
HENCE VERIFIED
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°