julissadiaz8757
julissadiaz8757 julissadiaz8757
  • 16-09-2022
  • Mathematics
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Given CAD is a right angle and AB is bisecting CAD and if DAB=(7x-4) find X

Given CAD is a right angle and AB is bisecting CAD and if DAB7x4 find X class=

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Xaxarolus
Xaxarolus Xaxarolus
  • 16-09-2022

Answer:

7°

Step-by-step explanation:

Just a quick clarification, swap A and B on the diagram.

If CAD is a right angle, it is equal to 90°. Since AB is bisecting CAD, angles CAB and DAB are congruent(equal) and complementary(add up to 90) angles, and thus equal 45°. By the transitive property, if DAB = (7x - 4)° and also equals 45°, (7x - 4)° = 45°. So we can simply solve for x.

7x - 4 = 45
7x - 4 + 4 = 45 + 4
7x = 49
7x/7 = 49/7
x = 7

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