Answered

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This figure has two intersecting lines and a ray. What is the value of ? What is the measure of the angles?

This Figure Has Two Intersecting Lines And A Ray What Is The Value Of What Is The Measure Of The Angles class=

Sagot :

jcherry99

Answer:

x = 7

3x + 17 = 38

6x + 10 = 52

Step-by-step explanation:

Comment

Given the two lines are perpendicular. The ray separates them so that two smaller angles are formed which  add up to 90 degrees. They are called complementary angles.

Given

<3x + 17

<6x + 10

The two lines are perpendicular.

Equation

(3x + 17) + (6x + 10) = 90

Solution

It the two lines are perpendicular the meet at right angles. A right angle 90 degrees.

(3x + 17) + (6x + 10) = 90                    Remove the brackets.

3x + 17 + 6x + 10 = 90                        Combine like terms on the left.

9x + 27 = 90                                       Subtract 27 from both sides.

9x + 27-27 = 90-27                            Combine

9x = 63                                                Divide both sides by 9

9x/9 = 63/9

x = 7

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