In the given figure, ΔABC, if θ = 80o, the measure of the twice the sum of the other two angles will be:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 200°.
The given triangle ABC is an isosceles triangle in which the angles facing the equal sides are equal in measure.
The sum of all the three angles in a triangle is 180°.
∠ABC = ∠ACB
Let the measure of angle be x.
⇒ x + x + 80° = 180°
⇒ 2x = 100°
x = 50°
Sum = x + x = 50 + 50 = 100°
Twice of the sum = 2 × 100 = 200°