Question

If the vertical angle of a isosceles triangle is 40 degree, then measure of other two angles will be


60, 60 degrees

70, 70 degrees

50, 50 degrees

75, 75 degrees​

Answer 1

Answer:

70,70 degrees

Step-by-step explanation:

Let the vertical angle be 40 degree.

Then, since it is an isosceles triangle the other 2 angles will be equal.

=> 40° + x + x = 180° |by angle sum property of. a triangle

=> 2x = 180-40

=> 2x = 140°

=> x = 140/2

Therefore x = 70°

Hence, each angle will be 70°

Answer 2

Given: If the vertical angle of a isosceles triangle is 40 degree.

To find: The measure of other two angles.

Solution:

• In an isoceles triangle, two sides are of equal length.
• So, two of the three angles will be equal and the third one will be different.
• Since the third angle is provided in the question, the two equal angles are to be found.
• The sum of all angles in a triangle is equal to 180°.
• Hence, the equal angles are calculated as follows,

        $180 - 40 = 140$

        $\frac{140}{2} = 70$

• So, each angle angle is 70°.

Therefore, the measure of other two angles will be 70°.