MAX is equiangular. If m<M = (7x + 4)⁰ m<A = (12x - 36)º, and m<X = (10x – 20)⁰, find x.

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jimrgrant1 jimrgrant1 · Answer 1 · 2020-12-07T21:45:35+01:00

Answer:

x = 8

Step-by-step explanation:

Since the triangle is equiangular then the 3 angles are congruent and of measure 60°.

Equate any of the 3 angles to 60 and solve for x, that is

7x + 4 = 60 ( subtract 4 from both sides )

7x = 56 ( divide both sides by 7 )

x = 8

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boffeemadrid boffeemadrid · Answer 2 · 2021-11-05T12:50:57+01:00

The value of [tex]x[/tex] is required.

The value of [tex]x[/tex] is [tex]8[/tex]

The triangle MAX is equiangular so all the angles are equal

The angles are

[tex]\angle M=7x+4[/tex]

[tex]\angle A=12x-36[/tex]

[tex]\angle X=10x-20[/tex]

As it is equiangular

[tex]\angle M=\angle A\\\Rightarrow 7x+4=12x-36\\\Rightarrow 4+36=12x-7x\\\Rightarrow 40=5x\\\Rightarrow x=\dfrac{40}{5}\\\Rightarrow x=8[/tex]

The value of [tex]x[/tex] is [tex]8[/tex]

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