Question

Drag an answer to each box to complete this paragraph proof. Given: Triangle ABC Prove: m/A= 66 A B (5x) By the C (x + 10) m/A+m/B +m/C= 180°. Using the the sum of the angles in a triangle is equal to 180°. Therefore, solve for x, first combine like terms to get 6x + 100 = 180. Using the (5x) +90° + (x + 10) = 180°. To 6x = 80. Then, using the division property of equality, x = 13. To find the measure of angle A, use the substitution property to get m/A = 5(13). Finally, simplifying the expression gets mA = 663"​

Answer 1

The value of A has been illustrated, computed and proven based in the triangle given.

How to calculate the triangle?

It should be noted that that a triangle is a shape that has three sides and the value of the addition of all the angles are equal to 180°.

Based on the information that's given, it should be noted that the value of angle A, angle B, and angle C will be equal to 180°.

In this case, the following can be deduced:

A = 5x

B = 90°

C = x + 10°

Therefore, A + B + C = 180° (sum of angles in a triangle)

5x + 90 + x + 10 = 180°

6x = 180° - 90° - 10°

6x = 80°

x = 80/6

x = 13 1/3

Therefore, the value of A will be:

= 5x

= 5 × 13 1/3

= 66 2/3

Therefore, A is 66 2/3.

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