Answer:
x+x°+118° = 180°; x = 31°
Explanation:
Given an isosceles triangle of ABC where angle A is x°, angle B is 118°, angle C is x°. To get the measure of angle A, the following steps must be followed.
Sum of angle in a triangle is 180° as shown
∠A+∠B+∠C = 180°
∠A = 180°-(∠B+∠C)
Substituting the values of each angle in the expression to get ∠A we have;
∠A = 180°- (118°+x°)
Since ∠A = x
x = 180°- (118°+x°)
x = 180°-118°-x°
x+x°+118° = 180° (This gives the required equation)
To get x;
2x° + 118° = 180°
Subtracting 118° from both sides
2x° + 118°-118° = 180°-118°
2x°= 62°
x = 31°