Question

Solve this diagram PLEASE!

Answer 1

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`

Answer 2

• 50°

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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