Question

13. Find the value of x
B
2x - 1
3x - 7
60°
А

Answer 1

It's a equilateral triangle as 1 side is 60°.Other two angles are equal and will be 60°.

`\\ \tt\longmapsto 2x-1=3x-7`

`\\ \tt\longmapsto -1+7=3x-2x`

`\\ \tt\longmapsto 6=x`

Answer 2

• x = 6

Explanation:

Given triangle is isosceles:

• AC = BC - marked equal

It makes opposite angles equal too:

• m∠A = m∠B

One angle measure is given:

• m∠C = 60°

Find the other interior angles:

• m∠A = m∠B = 1/2(180° - 60° = 60°

Since all interior angles are equal, all sides are equal too:

• 2x - 1 = 3x - 7
• 3x - 2x = 7 - 1
• x = 6