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Help me please I don’t understand this question

Help me please I don’t understand this question-example-1
User Yamile
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1 Answer

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The answer is 39º, 51º.

As shown by the marking on the triangle, angles DAC and BAC are congruent.

This means that angle 1 is also equal to 39º.

As for the measure of angle 3:

We can see that a the top of the kite, triangle DAB is formed. As you may already know, the sum of all the angles of a triangle is equal to 180. We already know that the measure of angle BAD is equal to 2 times 39. @ times 39 is equal to 78. This means that the sum of the remaining angles, which are congruent to each other, is 102. Since the two angles, angles 2 and 3, measure the same, we divide 102 by two and get 51. The angle measures are:A

Angle 1: 39º

Angles 2 and 3: 51º

The total sum is 180.

Hope this helped!

User Garethb
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