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One of the angles of a triangle measures d°, another measures (3d)°, and the third measures (5d + 54)°. Write and solve an equation to find

Home/Math/One of the angles of a triangle measures d°, another measures (3d)°, and the third measures (5d + 54)°. Write and solve an equation to find

One of the angles of a triangle measures d°, another measures (3d)°, and the third measures (5d + 54)°. Write and solve an equation to find

Question

One of the angles of a triangle measures d°, another measures (3d)°, and the third measures (5d + 54)°. Write and solve an equation to find the measures of the angles of the triangle.

## Answers ( )

Answer:

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees.

One of the angles of a triangle measures d°, another measures (3d)°, and the third measures (5d + 54)°. The equation becomes

d + 3d + 5d + 54 = 180

9d + 54 = 180

9d = 180 – 54

9d = 126

d = 126/9

d = 14

First angle is 14 degrees

Second angle is 3 × 14 = 42 degrees

Third angle is 5 × 14 + 54 = 124 degrees