To calculate: The measures of the angles if the degree measures of the angles of a
Answer to Problem 1RVS
Solution:
The measures of the angles of a triangle are 59, 60 and 61.
Explanation of Solution
Given information:
The degree measures of the angles of a triangle are three consecutive integers.
Formula used:
The sum of all the angles of a triangle is equal to
Calculation:
From the statement, the degree measures of the angles of a triangle are three consecutive integers.
So, let the consecutive angles be
Since, the sum of all the angles of a triangle is equal to
So,
Now, simplify the above equation for
Further simplified,
Since, three consecutive angles are
So, substitute the value of
And
Now, to check the answer put the values in equation
Thus, the solutions are correct.
Hence, the measures of the angles of a triangle are 59, 60 and 61.
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Chapter 5 Solutions
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