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6. If the degree measures of the three angles of a triangle are represented by
x+30, 4x + 30, and 10x - 30, which of the following choices most
completely describes the triangle?
(1) scalene and right
(2) isosceles and right
(3) isosceles and acute
(4) equilateral and equiangular

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Answer:

Isosceles and acute

Step-by-step explanation:

(x+30)+(4x+30)+(10x-30) = 180

15x+30 = 180

15x = 15

x = 10

x+30 = 40

4x+30 = 70

10x-30 = 70

Two equal angles means isosceles. The third angle is less than 90° so the triangle is also acute.

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