An exterior angle of a triangle is 124°. if the non-adjacent angles are congruent, then what are the measures of all of the interior angles of the triangle?

a.) 56°, 62°, 62°
b.) 124°, 28°, 28°
c.) 34°, 73°, 73°
d.) 90°, 45°, 45°

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Work Shown:

Let x be the measure of each non-adjacent interior angle.

By the remote interior angle theorem, the two angles mentioned add up to the exterior angle 124

x+x = 124

2x = 124

2x/2 = 124/2

x = 62

So we have two interior angles of 62 degrees each. The third interior angle is 180-124 = 56 degrees. You can also find this by solving x+x+y = 180 for y.

A diagram is provided below.

56, 62, 62.

Step-by-step explanation:

By the external angle of a triangle theorem

m < A = m < B + m < C  where A is the external angle and B and C are the 2 non-adjacent angles.

As m < B = m < C then

m < A = 2  *m < B

If the other internal angle is D then

m < B + m < C + m < D = 180 degrees

m < A = 124 degrees, so

124 + D = 180

D = 180 - 124 = 56 degrees.

So m < B ( and m < C) = 124 / 2 = 62 degrees.

you divide the cost ($15) by the quantity (6) to get your questions answer. the yo-yo costs $2.50. hope this : )!

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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