74.6k views
5 votes
If m∠1 = 3x, m∠3 = 2x + 20 and m∠5 = 30, what is the value of x?

10

20

26

50

User Drizzie
by
6.8k points

2 Answers

4 votes

Answer:

50

Explanation:

User Axel Briche
by
6.9k points
3 votes

Answer:

50 degrees

Explanation:

The diagram is attached below.

Theorem: The Exterior angle of a triangle is equal to the sum of two opposite interior angles.

By the theorem stated above:

m∠3+m∠5=m∠1

2x+20+30=3x

3x-2x=50

x=50

The value of x is 50 degrees.

If m∠1 = 3x, m∠3 = 2x + 20 and m∠5 = 30, what is the value of x? 10 20 26 50-example-1
User Rgoncalv
by
6.8k points
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