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What is the value of x in the figure? Enter your answer in the box.

What is the value of x in the figure? Enter your answer in the box.-example-1

2 Answers

4 votes

Explanation:

hi,

Opposite angle theorem:

  • ∡a₁ = ∡a₂
  • ∡b₁ = ∡b₂

__________

According to the theorem:

∡b₁ = ∡b₂ ⇒ 145° = ( 2x + 15 )°

145° - 15° = ( 2x )°

130° = ( 2x )°

x = 60°

What is the value of x in the figure? Enter your answer in the box.-example-1
User Damien Pollet
by
7.0k points
3 votes

Answer:

x=65

Explanation:

145=(2x+15)(voa)

145-15=2x
130=2x

130/2=x

65=x

User Matt Wagner
by
8.5k points