358,768 views
27 votes
27 votes
Solve this diagram PLEASE!

Solve this diagram PLEASE!-example-1
User Fahad Israr
by
2.3k points

2 Answers

8 votes
8 votes

Answer:

x = 50

Explanation:

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

From inspection of the given diagram, it appears that angle 150° and angle (50 + 2x)° are opposite vertical angles.

Therefore, applying the Vertical Angle Theorem:


\implies (50+2x)^(\circ)=150^(\circ)


\implies 50+2x=150


\implies 2x=100


\implies x=50

User JonniBravo
by
3.0k points
13 votes
13 votes

Answer:

  • 50°

---------------------------

The two vertical angles are:

  • 150° and the sum of 50° + 2x

Vertical angles are congruent, therefore:

  • 50 + 2x = 150
  • 2x = 150 - 50
  • 2x = 100
  • x = 100/2
  • x = 50
User Brian Luft
by
3.0k points
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