Share
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
in progress
0
Mathematics
6 months
2021-07-15T23:07:21+00:00
2021-07-15T23:07:21+00:00 2 Answers
0 views
0
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