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Consider the following diagram. (Question A) Name a pair of complementary angles. ( Question B) Name two supplementary angle pairs. (Question C) Solve for each of the unknowns. SHOW YOUR WORK. Will Mark Brainliest ​

Consider the following diagram Question A Name a pair of complementary angles Question B Name two supplementary angle pairs Question C Solve for each of the unk class=

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Answer:

a) BXC and CXD b) AXB and BXD c) x = 25; y = 18

Step-by-step explanation:

a) Because BXD is a right angle, that makes its measure 90 degrees.

That means that any 2 angles contained in it are complementary.

That makes BXC and CXD complementary.

b) AXD is a line, making its angles add up to 180.

That means that any 2 angles contained in it are supplementary.

That makes AXB and BXD supplementary.

c) AXD is a line, making AXB, BXC and CXD add up to 180.

That means that 5y + 2x + 40 = 180

Because BXD is a right angle, that makes its measure 90 degrees.

That means 2x + 40 = 90 --> 2x = 50 --> x = 25

Plug that into the first equation ( 5y + 2x + 40 = 180).

5y + 2(25) + 40 = 180 --> 5y = 90 --> y = 18

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