A right angle is divided into two angles so that one of them is 20 degrees larger than the other.

univerkov | January 18, 2021 | education

A right angle is divided into two angles so that one of them is 20 degrees larger than the other. Find the degree measure of the smaller angle.

Since, according to the condition, a right angle is given, which was divided into two angles so that one of the angles is 20 ° larger than the other, now you can find the degree measure of the resulting angles.
Let the value of one angle be x degrees, then the value of the other is (x + 20) degrees, and the right angle is 90 °, then we will compose and solve the equation.
For convenience, we write the equation, omitting the designation of degrees.
x + x + 20 = 90.
2x = 90 – 20.
x = 70: 2.
x = 35 ° is the smaller angle.

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