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Mariana [72]
2 years ago
12

Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of an

gle C = (11 x) degrees. Which statement is true about the angles? Measure of angle A = 20 degrees Measure of angle B = 60 degrees Angle A and Angle B are complementary Measure of angle A + measure of angle C = 120 degrees
Mathematics
2 answers:
MariettaO [177]2 years ago
5 0

Answer:

its A

Step-by-step explanation:

Gnoma [55]2 years ago
3 0

Answer:

<h3>             The true statement is the first:</h3><h2>         Measure of angle A = 20 degrees</h2>

Step-by-step explanation:

The sum of the measure of the interior angles in a triangle is 180°

m∠A + m∠B + m∠C = 180°

(2x)° + (5x)° + (11x)° = 180°

   (18x)° = 180°

       x = 10

A = (2×10)° = 20°     {<u>the first statement is true}</u>

B = (5×10)° = 50°      {the second statement is false}

C = (11×10)° = 110°

m∠A + m∠B = 20° + 50° = 70° ≠ 90°   {the third statement is false}

m∠A + m∠C = 20° + 110° = 130° ≠ 120°   {the fourth statement is false}

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