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Find the measure of HJK

Find the measure of HJK-example-1
User Builder
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1 Answer

6 votes

Answer:

m<HJK = 40°

Explanation:

Given:

m<HJK = 3x - 2

m<KJL = 50°

Required:

m<HJK

Solution:

m<HJK + m<KJL = 90° (complementary angle)

Substitute

3x - 2 + 50 = 90

Add like terms

3x + 48 = 90

3x + 48 - 48 = 90 - 48

3x = 42

3x/3 = 42/3

x = 14

✅m<HJK = 3x - 2

Plug in the value of x

m<HJK = 3(14) - 2 = 42 - 2

m<HJK = 40°

User PhilMY
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