Question

A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of xx.

Answer 1

Sum of interiors=exterior

`\\ \rm\bull\rightarrowtail x+46=62`

`\\ \rm\bull\rightarrowtail x=62-46`

`\\ \rm\bull\rightarrowtail x=16`

Answer 2

Note that:

• x + 46 + (180 - 62) = 180

Simplify the equation to find x.

• x + 46 + (180 - 62) = 180
• => x + 46 = 180 - (180 - 62)
• => x + 46 = 180 - 180 + 62
• => x + 46 = 62
• => x = 16