Question

Instructions: Use the image and your knowledge of the

isosceles triangle to find the value of x.

Answer 1

x = 41°

Explanation:

An isosceles triangle has 2 opposite sides equal.

Therefore the angle opposite x is also x

Hence:

x + x + 98° = 180° (angles in a triangle add up to 180°)

2x + 98° = 180°

2x = 180° - 98°

2x = 82°

2x/2 = 82°/2

x = 41°

Answer 2

Explanation:

In Isosceles triangle base angles (angles oppoiste to equal sides) are congruent.

x + x + 98 = 180 {Angle sum proeprty of triangle}

2x + 98 = 180 {Subtract 98 from both sides}

2x = 180 - 98

2x = 82 {Divide both sides by 2}

x = 82/2

x = 41