Question

In the rectangle ABCD, ∠CAB = 28°

The measure of angle x is:

पर्याय

• 62°

• 72°

• 28°

• 52°

Answer 1

62°

Explanation:

Step 1: Use the properties of a rectangle

In a rectangle, all interior angles are right angles. 

Therefore, ∠DAB = 90°.

The angle ∠DAB is composed of two smaller angles ∠CAB and ∠DAC.

∠DAB = ∠CAB + ∠DAC

Step 2: Set up the equation

We are given that ∠CAB = 28°.

We need to find the measure of ‘x’.

Based on the problem and the provided solution, it is assumed that ‘x’ represents the angle ∠DAC.

90° = 28° + x

Step 3: Solve for x

Subtract 28° from both sides of the equation to find the value of x.

x = 90° – 28°

x = 62°