What is the measure of angles x?a)30°b)60°c)90°d)45°Correct answer is option 'C'. Can you explain this answer?

Question

What is the measure of angles x?a)30&deg;b)60&deg;c)90&deg;d)45&deg;Correct answer is option 'C'. Can you explain this answer?

Answer

Since the two sides are equal, the angles opposite to them are also equal.

So x + 45° + 45° = 180° (Angles sum property)

x = 90°

Answer

90

Answer

Ans. c

Answer

Solution:

In an isosceles triangle, where two sides are equal, the angles opposite these sides are also equal. This leads us to the following steps:

Let the equal angles be 45° each.
According to the angles sum property of triangles, the sum of the angles in a triangle is 180°.
Thus, we can set up the equation: x + 45° + 45° = 180°.
Simplifying this gives: x + 90° = 180°.
Solving for x results in: x = 90°.

Therefore, the measure of angle x is 90°.