An angle is 74 degrees more than its complement. Find both angles.

2 answers:

6 0

Complementary angles equal 90°

x= angle 1
x+74= angle 2

x + (x+74)= 90°
combine like terms
2x+74= 90
subtract 74 from both sides
2x=16
divide both sides by 2
x=8° angle 1

Substitute x=8 to find angle 2
=x+74
=8+74
=82° angle 2

Check:
angle 1 + angle 2= 90°
8° + 82°= 90°
90°=90°

Hope this helps! :)

Elena L [17]2 years ago

3 0

X + (x+74) = 90
2x + 74 = 90
-74 -74
2x=16
x=8

The angles are 8° and 82°

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Question not well presented

Point S is on line segment RT . Given RS = 4x − 10, ST=2x−10, and RT=4x−4, determine the numerical length of RS

Answer:

The numerical length of RS is 22

Step-by-step explanation:

Given that

RS = 4x − 10

ST=2x−10

RT=4x−4

From the question above:

Point S lies on |RT|

So, RT = RS + ST

Substitute values for each in the above equation to solve for x

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4x - 4 = 4x + 2x - 10 - 10

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Hence, the numerical length of RS is calculated as 22

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