To find the angle measure that is not one of the angles of the
Answer to Problem 4STP
J.
Explanation of Solution
Given information:
Measures of the interior angles are given in the ratio
Formula used:
Sum of the interior angles of a triangle add up to
Calculation:
To calculate the measures of the interior angles that are provided in a ratio, convert the three ratios by multiplying each with a constant ‘x’.
This will give
Once the constant is multiplied, their sums would add up to
or,
upon simplifying,
Bringing the numeric values in the right-hand side.
Dividing the numerator by the denominator.
This is the value of the constant ‘x’.
Upon multiplying this with the original parts of the ratio, the measure of the three angles of the triangle would be obtained.
First angle is
Second angle is
Third angle is
Upon looking at the options, angle in option J is not present.
Hence this is the angle not part of the triangle.
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