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Elena-2011 [213]
3 years ago
13

Vertical and Adjacent Angles 14 POINTS+BRAINLIEST

Mathematics
1 answer:
qwelly [4]3 years ago
4 0

Answer:

Problem D: x = 24; m<JMK = 96

Problem A: x = 8; m<DBC = 32

Step-by-step explanation:

Problem D.

According to the Angle Addition Postulate,

m<JML = m<JMK + m<KML

m<JML = 131

m<JMK = 4x

m<KML = x + 11

131 = 4x + x + 11

131 = 5x + 11

120 = 5x

24 = x

x = 24

m<JMK = 4x = 4(24) = 96

Problem A:

According to the Angle Addition Postulate,

m<ABC = m<ABD + m<DBC

m<ABC = 55

m<ABD = 23

m<DBC = 4x

55 = 23 + 4x

32 = 4x

8 = x

x = 8

m<DBC = 4x = 4(8) = 32

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