A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angl

Question

sweet-ann [11.9K]

2 years ago

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A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angl

es?

Mathematics

2 answers:

koban [17] · Answer 1 · 2022-09-15T04:45:05+03:00

9514 1404 393

Answer:

55° : 70°

Step-by-step explanation:

The sum of the two other angles is ...

180° -55° = 125°

The sum of the ratio units is 11+14 = 25. Each ratio unit stands for 125°/25 = 5°. Then the other two angles are ...

11×5° = 55°

14×5° = 70°

Galina-37 [17] · Answer 2 · 2022-09-15T06:55:32+03:00

Answer:

55° and 70°

Step-by-step explanation:

A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angles?

the sum of the internal angles of a triangle is 180 °, we take 55 ° of the known angle and we have the sum of the other two, 125 °, the ratio is 11:14, one is 11 units and one is 14 units, we add them and we divide 125 ° by (11 + 14) = 25 and we have a unit, 125: 25 = 5. now we multiply the unit first by 11 and then by 14 and find the measure of the angles.

11 * 5 = 55°

14 * 5 = 70°

--------------------

check

55 + 55 + 70 = 180°

the sum of the interior angles of a triangle is 180,

so

the answer is good