33.1k views
3 votes
Solve for x in the diagram below.

Solve for x in the diagram below.-example-1
User Yoon Lee
by
4.8k points

2 Answers

5 votes

Answer:

77

Explanation:

why because 100+3=103

and this is half a circle so the answer is 180-103 that is 77

User Isaac Muturi
by
4.8k points
3 votes

Answer:

x = 20°

Explanation:

From the question it can be seen that all the angles lie on a straight line and

Angles on a straight line add up to 180°

To solve for x add up all the angles and equate them to 180°

That's

x + 3x + 100 = 180

4x + 100 = 180

Subtract 100 from both sides

4x + 100 - 100 = 180 - 100

4x = 80

Divide both sides by 4

We have


(4x)/(4) = (80)/(4)

We have the final answer as

x = 20°

Hope this helps you

User Alex Biro
by
5.7k points