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lisov135 [29]
3 years ago
9

In the following diagram, BC is parallel to DE 30 POINTS

Mathematics
2 answers:
babymother [125]3 years ago
8 0

Answer:

∠x = 29^{0}

Step-by-step explanation:

Since /BC/ ll /DE/, then ∠CBA = ∠DAB  (alternate angles)

Thus,

       ∠DAB + 109^{0} + x = 180^{0} (sum of angles on a straight line)

 ⇒      42^{0} + 109^{0} + x =  180^{0}

          151^{0} + x = 180^{0}

make 'x' the subject of the formula,

       x = 180^{0} - 151^{0}

∴     x   = 29^{0}

Romashka-Z-Leto [24]3 years ago
4 0

Answer:

29

Step-by-step explanation:

In parallel lines, allied angles have a sum of 180.

Therefore, angle CBD + angle EAB = 180

Therefore, 42 + 109 + x = 180

x + 151 = 180

x          = 29

Hope it helps and if it does, please mark me brainliest...

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