Envision Math 2.0: Grade 7, Volume 2
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Envision Math 2.0: Grade 7, Volume 2 View details
4. Solve Problems Using Angle Relationships
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Exercise 11 Page 439

The sum of complementary angles is 90^(∘).

16^(∘)

Practice makes perfect

Consider the given diagram.

We know that ∠ 1 and ∠ 2 are complementary, therefore, the sum of their measures is 90^(∘). m∠ 1 + m∠ 2 = 90^(∘) We are told that the measure of ∠ 1 is 42^(∘) and the measure of ∠ 2 is (3x)^(∘). Now we can substitute these values into the above equation and solve for x. We will ignore the symbol ^(∘) to make easier the calculations.
m∠ 1 + m∠ 2 = 90
Solve for x
42 + 3x = 90
42+3x-42=90-42
3x=48
3x/3=48/3
3x/3=48/3
x=48/3
x=16
The value of x is 16^(∘).