This question is incomplete because it lacks the appropriate options
Complete Question
Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.
Which statement is true about the angles?
a) Measure of angle A = 20 degrees
b) Measure of angle B = 60 degrees
c) Angle A and Angle B are complementary
d) Measure of angle A + measure of angle C = 100 degrees
Answer:
a) Measure of angle A = 20 degrees
Step-by-step explanation:
It is known that the sum of angles in a triangles = 180°
We are given these values in the question
Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.
Therefore,
Angle A + Angle B + Angle C = 180°
2x + 5x + 11x = 180°
18x = 180°
x = 180°/ 18
x = 10°
Finding each of the angles
Angle A = 2x = 2 × 10 = 20°
Angle B = 5x = 5 × 10 = 50°
Angle C = 11x = 11 × 10 = 110°
Therefore, the correct option is:
a) Measure of angle A = 20 degrees
