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the ratio of the measures of the three angles in a triangle is 10:3:7 find the measure of the largest angle

User Harry J
by
5.0k points

2 Answers

3 votes

Answer:

The largest angle is 90 degrees

Step-by-step explanation:

The three angles of a triangle add to 180

The ratio is 10 : 3: 7

Multiply each by x

10x, 3x 7x

Add them together and set equal to 180

10x+3x+7x = 180

Combine like terms

20x = 180

Divide by 20

20x/20x =180/20

x = 9

The largest angle is 10x

10*9 = 90

The largest angle is 90 degrees

User Artem Malinko
by
6.0k points
2 votes

Answer:

The largest angle is 90 degrees

Explanation:

The three angles of a triangle add to 180

The ratio is 10 : 3: 7

Multiply each by x

10x, 3x 7x

Add them together and set equal to 180

10x+3x+7x = 180

Combine like terms

20x = 180

Divide by 20

20x/20x =180/20

x = 9

The largest angle is 10x

10*9 = 90

The largest angle is 90 degrees

User Jesse Schoff
by
5.3k points
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