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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 DAB=(7x-4) find X-example-1
User Fresko
by
4.8k points

1 Answer

3 votes

Answer:

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

User Samvel Aleqsanyan
by
5.3k points
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