If m∠DEF = (7x + 4)°, m∠DEG = (5x + 1)°, and m∠GEF = 23°, find each measure. 5. If m∠JKM = 43°, m∠MKL = (8x...

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4. If m∠DEF = (7x + 4)°, m∠DEG = (5x + 1)°, and m∠GEF = 23°, find each measure. 5. If m∠JKM = 43°, m∠MKL = (8x - 20)°, and m∠JKL = (10x - 11)°, find each measure.

SnapAndSolve AI · Accepted Answer

For question 4:

Since ∠DEF is the sum of ∠DEG and ∠GEF, we have:

(7x + 4) = (5x + 1) + 23

7x + 4 = 5x + 24

2x = 20

x = 10

m∠DEG = (5x + 1) = 5(10) + 1 = 51°

m∠DEF = (7x + 4) = 7(10) + 4 = 74°
For question 5:

Since ∠JKL is the sum of ∠JKM and ∠MKL, we have:

(10x - 11) = 43 + (8x - 20)

10x - 11 = 8x + 23

2x = 34

x = 17

m∠MKL = (8x - 20) = 8(17) - 20 = 116°

m∠JKL = (10x - 11) = 10(17) - 11 = 159°

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If m∠DEF = (7x + 4)°, m∠DEG = (5x + 1)°, and m∠GEF = 23°, find each measure. 5. If m∠JKM = 43°, m∠MKL = (8x...

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