What is the value of x? x = 55° x = 60° x = 70° x = 110°

4 answers
Question:

What is the value of x? x = 55° x = 60° x = 70° x = 110°

Answers

The answer is the answer the answer is x=55 degrees because the angle sum for a triangle is 180 degrees and because we are told angle A and angle C are congruent that means you can simply take 180 - 70 to get 110 and i simply divided that by 2 and got 55 degrees

55 please put the heart

The two marks on the angles A and C suggest that those angle are the same, and thus the triangle is isosceles.

So, if the measure of angle C is x, the measure of angle A will be x as well.

To solve the exercise, we must use the fact that the sum of the interior angles of any triange is always 180°.

In our case, the measures of the angles are 70, x and x, so the equation is

[tex]70+x+x = 180 \iff 70+2x = 180 \iff 2x = 110 \iff x = 55[/tex]

x = 55°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

∠BAC = ∠BCA = x, thus

2x + 70 = 180 ( subtract 70 from both sides )

2x = 110 ( divide both sides by 2 )

x = 55°

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