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In the triangle below, find the measurements of the unknown angles.

2a

A

a

75

O A. 75°, 105°

Ο Ο

B. 40°, 80°

C. 5°, 10°

O O

ОО

D. 25°, 50°

O E. 35°, 70°

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User LukLed
by
4.9k points

2 Answers

2 votes

Answer:

E) 35°, 70°.

Explanation:

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User Jonathan Peterson
by
6.0k points
4 votes

Answer:

E) 35°, 70°.

Explanation:

Given that the triangle has angles of a°, 2a° and 75°.

A triangle is a polygon shape that has three sides and three angles. The sum of angles in a triangle is 180°. There are different types of triangles such as scalene triangle, isosceles triangle, equilateral triangle e.t.c.

In the triangle:

a + 2a + 75 = 180° (sum of angles in a triangle)

3a + 75 = 180

adding -75 to both sides:

3a + 75 - 75 = 180 - 75

3a = 105

a = 105/3

a = 35°

Hence 2a = 2(35) = 70°

Therefore a = 35° and 2a = 70°

In the triangle below, find the measurements of the unknown angles. 2a A a 75 O A-example-1
User MarTic
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