The measures of the angles in a triangle are in the ratio of 2:2:4. Find the exterior angle that is adjacent to the largest angl
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2 answers:
Answer:
90°
Step-by-step explanation:
Let there measures of the angles of a triangle are 2x, 2x and 4x.
We know that the sum of angles of a triangle is equal to 180°. So,
2x+2x+4x=180
8x=180
x = 22.5
We know that, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
So, the exterior angle = 4x = 4(22.5) = 90°
Answer:
The answer is 90 degrees
Step-by-step explanation:
2 + 2 + 4 = 8
180 / 8 = 22.5
22.5 * 4 = 90
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