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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
2021-07-15T22:46:37+00:00
2021-07-15T22:46:37+00:00 2 Answers
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## Answers ( )

Answer:90

Step-by-step explanation:The sum of the angles of a triangle is 180 degrees

x+x+10 +x+50 = 180

3x+60= 180

3x = 180-60

3x = 120

Divide by 3

3x/3 = 120/3

x = 40

The largest angle is

x+50

40+50 = 90

We have to,

find the measure of the largest angle.

Given that,

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

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

Thus, option (D) is the correct answer.