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Find the measure in degrees of the smallest angle in the triangle.

Find The Measure In Degrees Of The Smallest Angle In The Triangle class=

Answer :

Answer:

Explanation:

The sum of the angles in a triangle is 180 degrees. The angles in the given triangle are 2x, 6x + 4 and 2x + 6

Thus,

2x + 6x + 4 + 2x + 6 = 180

By collecting like terms, we have

2x + 6x + 2x + 4 + 6 = 180

10x + 10 = 180

10x = 180 - 10 = 170

x = 170/10

x = 17

The smallest angle in the triangle is 2x. Thus,

Smallest angle = 2 * 17

Smallest angle = 34 degrees

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