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## The angles in a triangle are represented by x, x+10, and x+50. What is the measure of the largest angle? A.70 degrees B.80 deg

Question

The angles in a triangle are represented by x, x+10, and x+50. What is the measure of the largest angle?

A.70 degrees

B.80 degrees

C.100 degrees

D.90 degrees

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Mathematics
6 months
2021-07-15T23:07:21+00:00
2021-07-15T23:07:21+00:00 2 Answers
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## Answers ( )

Given that,

The angles in a triangle are represented by x, x+10, and x+50.

We had to,

find the measure of the largest angle.

Let’s start to solve,

→ x + (x+10) + (x+50) = 180°

→ x + x + x = 180° (-50 -10)

→ 3x = 180° -60

→ 3x = 120

→ x = 120/3

→ x = 40°

Then the value of x + 10,

→ x + 10

→ 40 + 10

→ 50°

Then the value of x + 50,

→ x + 50

→ 40 + 50

→ 90°

The measure of the largest angle is,

→ D. 90 degrees

Hence, option (D) is correct answer.

Step-by-step explanation:good of you and good workings