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Triangle A B C is shown with an angle bisector and two congruent sides. Side A B is congruent to Side A C. Segment A D is the bisector of angle A. Point D is on side B C. Angle B A D is labeled y degrees. Angle B D A is labeled x degrees. Angle A C D is labeled 47 degrees. Find the values of x and y.

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Answer: x=90 degrees, y=43 degrees

Step-by-step explanation:

The triangle ABC is an isosceles triangle with congruent sides AB and AC.  Therefore, the angles ABC and ACB are equal. Segment AD is the bisector of angle A (or BAC). The angle ACD is given as 47 degrees. So, angles ABC and ACB are 47 degrees each, since the point D is on side BC. The angle BAC is 180-2(47) degrees which is 86 degrees. Since AD is bisector of the angle BAC, BAD is 86/2=43 degrees . From the triangle BAD, angle of BDA is 180 - (the angle ABD + the angle BAD) = 180 -(47+43)=90 degrees. So x=90 and y=43 degrees.

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Answer:

yeah its correct i just took the test.

Step-by-step explanation:

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