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What is the measure of angle A?

a) 130°
b) 50°
c) 70°
d) 30°

User Kaleb
by
7.6k points

1 Answer

6 votes

Final Answer:

(a) The measure of angle A is 50° (b).

Step-by-step explanation:

(a) To determine the measure of angle A, we can use the fact that the sum of interior angles in a triangle is always 180°. Let's denote the three angles of the triangle as A, B, and C. The sum of these angles is given by the equation A + B + C = 180°.

(b) In the provided options, we are looking for the value of angle A. By selecting each option, we can test which one, when combined with the other angles in the triangle, satisfies the equation A + B + C = 180°. Starting with option b) 50°, if we assume angle A is 50°, we can check if this choice, along with the other potential angles, adds up to 180°.

(c) In this case, if we consider angle B and angle C to be 65° each (as 65° + 65° = 130°), then A + B + C = 50° + 65° + 65° = 180°. Therefore, option b) 50° is a valid choice for the measure of angle A based on the conditions of the sum of interior angles in a triangle.

Complete Question:

What is the measure of angle A?

a) 130°

b) 50°

c) 70°

d) 30°

User Jeff Fritz
by
7.6k points