Question

FIND THE MEASURE OF A TRIANGLE if ONE OF THE ANGLES IS 140 DEGREE AND THE OTHER TWO ANGLES ARE EQUAL

Answer 1

Given: One of the angles of the triangle is 140° and the other 2 angles are equal.

To find: The measure of the other 2 angles.

Answer:

Let the other 2 angles be x (since they're both equal).

140° + x + x = 180° (Angle Sum Property) (All angles of a triangle add up to 180°)

140° + 2x = 180°

2x = 180° - 140°

2x = 40°

x = 40°/2

x = 20°

Therefore the other 2 angles are 20°

Proof: Using Angle Sum Property, 140° + 20° + 20° = 180°

Hope it helps :)

Answer 2

Let the three angles be A.B.C.

Measure of angle A =140

Measur of angle B and C are same .

Let the unknown measure be x.

By angle sum property of a triangle ..

A +B+C=180

140 + x + x =180

140 + 2x =180

2x = 180-140

2x =40

x = 40÷2

x =20

Hence , the other two equal measures are 20 degree