# One of the angles formed at the intersection of two straight lines is 90 degrees larger than the other.

June 28, 2021 | education

| **One of the angles formed at the intersection of two straight lines is 90 degrees larger than the other. How many times is it larger than the other angle?**

1. Let’s denote the degree measure of the second angle through x.

2. Let’s define the degree measure of the first angle:

(x + 90˚)

3. Since the sum of adjacent angles is 180˚, compose and solve the equation:

(x + 90˚) + x = 180˚;

x + 90˚ + x = 180˚;

2x + 90˚ = 180˚;

2x = 180˚ – 90˚;

2x = 90˚;

x = 90˚: 2;

x = 45˚.

4. The degree measure of the second angle is x = 45˚.

5. What is the degree measure of the first angle?

x + 90˚ = 45˚ + 90˚ = 135˚.

6. How many times is the first angle greater than the second angle?

135˚: 45˚ = 3.

Answer: the first corner is 3 times larger than the second corner.

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