Question

Angle sums properties iready

Please help me!

Answer 1

Answer:

180° in a triangle

10x = 180

180/10 = x

X= 18

2 x 18 = 36°

<C = 36°

Answer 2

An isosceles triangle have equal base angles.

The measure of angle C is 36 degrees.

The given parameters are:

$\mathbf{\angle A = \angle C = 2x}$

$\mathbf{\angle B = 6x}$

The sum of angles in a triangle is 180 degrees.

So, we have:

$\mathbf{\angle A + \angle B + \angle C = 180}$

Substitute the expressions for A, B and C

$\mathbf{2x + 6x + 2x = 180}$

$\mathbf{10x = 180}$

Divide both sides by 5

$\mathbf{2x = 36}$

Recall that:

$\mathbf{\angle C = 2x}$

So, we have:

$\mathbf{\angle C = 36}$

Hence, the measure of angle C is 36 degrees.

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