Let angle be x.. its complement will be (90-x).... ATQ, X=25+(90-x)... 2x=115.. so,x=57.5... so angle=57.5•.... its complement=(90-57.5)=32.5...... clearly angle 57.5 is 25 more than its complement 32.5.......Ans

Problem Statement:
Find the measure of an angle which is 25 more than its complement.

Solution:

Step 1: Understand the Problem
To find the measure of an angle that is 25 more than its complement, we need to understand the concept of complementary angles.

Step 2: Complementary Angles
Complementary angles are two angles whose sum is 90 degrees. In other words, when you add the measures of two complementary angles, the result is always 90 degrees.

Step 3: Mathematical Representation
Let's assume the measure of the angle to be x degrees. The complement of this angle would be (90 - x) degrees.

According to the problem statement, the given angle is 25 degrees more than its complement. Mathematically, we can represent this as:

x = (90 - x) + 25

Step 4: Solve the Equation
To find the value of x, we can solve the equation mentioned above.

x = 90 - x + 25
2x = 115
x = 57.5

Step 5: Answer
The measure of the angle is 57.5 degrees.

Explanation:
Let's understand the solution in detail.

- We start by understanding the problem, which requires finding the measure of an angle that is 25 more than its complement.
- Complementary angles are introduced as two angles whose sum is 90 degrees.
- We represent the measure of the angle as x and its complement as (90 - x).
- By applying the information given in the problem, we set up an equation: x = (90 - x) + 25.
- Solving the equation gives us x = 57.5, which represents the measure of the angle.
- Therefore, the answer is that the angle measures 57.5 degrees.

Conclusion:
The measure of the angle that is 25 more than its complement is 57.5 degrees. This solution demonstrates the understanding of complementary angles and the use of mathematical equations to solve the problem.