Question

If angle A is double of angle C and angle b & angle D are 70 & 120. Find angle A and angle C

Answer 1

Step-by-step explanation:

We know that the sum of the measures of any triangle is 180 degrees. Using the fact that angle A + angle B + angle C = 180 degrees, we can find the measure of angle C.

angle A = 40

angle B = 60

angle C = we don't know.

To find angle C, we simply plug into the formula above and solve for C.

A + B + C = 180

C = 180 - A - B

C = 180 - 40 - 60

C = 80

To check if 80 degrees is correct, let's add all three angle measures. If we get 180 degrees, then our answer for angle C is right.

Here we go:

40 + 60 + 80 = 180

180 = 180...It checks!

Answer 2

Let ∠A be x.

Then, ∠C = 2x.

∠B = 70°

∠D = 120°

x°+2x°+70°+120° = 360°

3x°+190° = 360°

3x = 360°-190°

x = 170°/3 = 56•6

∠A = 56•6° Answer

∠C = 2*56•6 = 113•3° Answer