Question

Solve for x in the diagram below.

Answer 1

Answer:

x = 20

Step-by-step explanation:

Key skills needed: Complementary Angles, Equations

1) We are given this diagram and we want to find out x.

The 2 angles (One with the measure "x degrees" and the other with the measure of "3x+10") are complementary. This means that both their measures add up to equal the measure of a right, or 90 degrees.

2) This means we can make the equation --> $x + 3x + 10 = 90$

To solve:

Combine like terms (3x + x = 4x) --> $4x + 10 = 90$

To get "x" by itself, subtract 10 from both sides (90 - 10 = 80)

This means it would be --> $4x = 80$

Divide by 4 from both sides (80 divided by 4 is 20) and get x = 20

Therefore 20 is your answer.

Hope you understood and have a nice day!! :D

Answer 2

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Answer:

  x = 20

Step-by-step explanation:

The sum of the given angle expressions is 90°, the measure of the right angle:

  x + (3x +10) = 90

  4x = 80 . . . . . . . . . subtract 10

  x = 20 . . . . . . . . . . divide by 4