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mr Goodwill [35]
3 years ago
13

stack X B with rightwards arrow on top bisects ∠AXC. If m∠AXB = 2x + 10, m∠BXC = 2x + 10, and the m∠AXC = 6x – 6, find the value

of x. *Hint: use the Angle Addition Postulate
Mathematics
1 answer:
Sever21 [200]3 years ago
5 0

Answer:

x=13

Step-by-step explanation:

set up the equation:

AXB+BXC=AXC

(2x+10)+(2x+10)=(6x-6)

calculate for x

x=13

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Now draw a line from the top of the equilateral triangle to the base, and dividing it into two. You will have made two smaller triangles, with sides 9, 4.5, and h (the one you want to find). 

A line drawn from the apex of an equilateral triangle to the midpoint of the base is perpendicular to the base, so you can use Pythagoras' Theorem! 

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IRINA_888 [86]

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