Use the fact that the sum of the 3 angles in a triangle is 180^circ to answer this question. One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 15^circ more than that of the smallest angle. Find the measure of the each of the angles.

stylaria3y 2022-07-25 Answered
Use the fact that the sum of the 3 angles in a triangle is 180 to answer this question.
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 15 more than that of the smallest angle. Find the measure of the each of the angles.
The SMALLEST angle has a measure of ?
The MIDDLE angle has a measure of ?
The LARGEST angle has a measure of ?
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Answers (1)

Mira Spears
Answered 2022-07-26 Author has 14 answers
Step 1
Let the three angles of triangle are
x = s m a l l y = m i d d l e z = l a r g e s t
By the given information, it is implied that
z = 3 x
and y = 15 + x
The sum of all angles of triangle is 180
i.e., x + y + z = 180
x + 15 + x + 3 x = 180 5 x + 15 = 180 5 x = 165 x = 33
Smallest angle = 33
Step 2
Middle angle y = 15 + x
= 15 + 33
= 48
Largest angle z = 3 x
= 3 ( 33 )
= 99

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