The measures of the angles of a triangle are shown in the figure below. Find the

Mathematics

2 answers:

zhenek [66]3 years ago

7 0

{4x, x+18, 112}
4x +(18+x)+112=5x+19.9548
0.333333(5x+19.9548)

earnstyle [38]3 years ago

4 0

9514 1404 393

Answer:

28°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so we have ...

(4x) +(x +18) +112 = 180

5x = 50 . . . . . . . subtract 130

x = 10

Then the two acute angles are ...

(4x)° = (4·10)° = 40°

(x+18)° = (10+18)° = 28°

The measure of the smallest angle is 28°.

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