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Desperate i need help on this

Desperate i need help on this-example-1
User Stanm
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Complementary angles are two angles which sum is equal to 90 degrees

angle DFG and angle JKL are complementary angles

DFG = x + 3

JKL = x - 5

x-5 +x + 3 = 90

Add like terms

2x - 2 = 90

Add 2 to each side

2x = 92

Divide each side by 2

x = 46

Let's plug 46 into x for angle DFG

46 + 3 = 49

Since they add up to 90, we can subtract 49 from 90 to get angle JKL

90 - 49 = 41

DFG = 49

JKL = 41

For question 5, bisecting means cutting something in half. Angles LMO and NMO are equal to each other.

6x - 21 = 2x + 31

Let's subtract 2x from both sides and add 21 to both sides

4x = 52

Divide each side by 4

x = 13

Let's plug 13 in for x

LMO = 6(13) - 21 = 57

Since LMO and NMO are equal, we can multiply 57 by 2

57 * 2 = 114

The measure of LMN is 114

User Benno Kress
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