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Pls help me with this equation
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5 votes
Pls help me with this equation

Pls help me with this equation-example-1
User CoolMcGrrr
by
3.9k points

1 Answer

3 votes

Answer:

x = 20

Explanation:

Given BD = CD then Δ BCD is isosceles and the 2 base angles are congruent

∠ CBD = ∠ BCD = 40° , then

∠ BDC = 180° - (40 + 40)° = 180° - 80° = 100° ← sum of angles in triangle

Sum the 3 angles of Δ ACD and equate to 180

20 + 100 + x + 40 = 180

160 + x = 180 ( subtract 160 from both sides )

x = 20

User Don George
by
4.0k points
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