To find: The measures of angle 1 and 2.
Answer to Problem 26PPS
The measure of angle 1 is 58 degree and that of angle 2 is 32 degree.
Explanation of Solution
Given information:
Two complementary angles 1 and 2, so that angle 1 is 6 less than double the measure of angle 2.
Concept used:
The sum of two complementary angles is 90 degree. So, to form an equation in unknown variable x , showing measure of angle 2, so that the sum of two terms is 90, to calculate x .
Calculation:
Let x be the measure of angle 2. So as angle 1 is 6 less than double of x , so measure of angle 1 is. And as their sum is 90 degree, so,
And
By above calculation, it is concluded that the measure of angle 2 is 32 degree and the measure of angle 1 is 58 degree.
Chapter 11 Solutions
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