Question

If the angles of a triangle with measures in the ratio of 4 : 7 : 7, then find the measure of the

smallest angle.
40°
50°
60°
70°

Answer 1

angle in triangle= 180

4 + 7+7= 18

180/18 = 10

10 = 1 part

smallest = 4 parts

10x4= 40

so answer is 40

Answer 2

(a) 40°

Explanation:

You want the measure of the smallest angle in a triangle whose angle measures have the ratios 4 : 7 : 7.

Ratios

We notice that the sum of the numbers in the ratios is 4+7+7 = 18, so multiplying by 10 will make the sum equal to 180, the number of degrees in a triangle.

4 : 7 : 7 = 40 : 70 : 70

The smallest angle is 40°.

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Additional comment

The other two angle measures are 70°.