Question

A side of the triangle below has been extended to form an exterior angle of 157°. Find the value

of x.
x
157⁰
102°

Answer 1

55°

Explanation:

We know that,

• Exterior angle of the triangle given = SUM of other two opposite angles to it
• ext angle = < a + <b (They are angles opposite to ext angle!)

Given:

Here <a = x°

• <b =102°
• ext angle = 157°

On putting values:

• 157 = x + 102
• x = 157 -102
• x = 55°