Question

The angles of a triangle are x, x + 15° and 2x -15°
Find the smallest angle of the triangle
Option A
45
Option B
75​

Answer 1

Answer:

x+x+15+2x-15=180°

Cut +15 and -15

4x=180°

x=45°

x=45°

x+15=60°

2x-15=75°

Smallest angle=x=45°

Answer 2

✽ Question ✽

The angles of a triangle are x°, (x + 15)° and (2x -15)°.

Find the smallest angle of the triangle.

A) 45

B) 75

✽ To find ✽

The smallest angle of the triangle.

✽ Solution ✽

As we know that the sum of all angles of a triangle is 180°, we can say-

x+(x+15)+(2x-15) = 180

→ (x+x+3x)+(15-15) = 180

→ 4x+0 = 180

→ 4x = 180

→ x = 180/4

→ x = 45

✽ Hence ✽

The smallest angle = x° = 45°.

✽ Therefore ✽

The smallest angle of the triangle is 45°.

So, the correct option is A) 45.

◎ Hope this helps you. ◎