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guapka [62]
3 years ago
13

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

Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0

Answer:

E) 35°, 70°.

Step-by-step 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°

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