Question

please tell fast.............. ........................ . .........

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Answer 1

Answer:

92.5 deg

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Step-by-step explanation:

to find the measure of the angle, we need to find the measure of the two angles that make it ie, angles BAC and DAC

since the two triangles in the figure are isosceles, two angles of each are equal.

in the case of triangle BAC, angles A and C are equal. to find the measure of angle A here, we use the following equation

B + A + C = 180 deg

B + A + A = 180 deg

50 + 2A = 180 deg

2A = 180 - 50 deg

A = 130/2 deg

A = 65 deg

in the case of triangle CAD, angles A and D are equal, but there is no mention of even 1 angle here, but we can get the measure of angle C using the given equation

ACB + ACD = 180 deg

65 + ACD = 180 deg

ACD = 180 - 65 deg

ACD = 125 deg

now that we know the measure of one of the angles, we can find the measure of the remaining 2 equal angles using the following equation:

C + A + D = 180 deg

125 + A + A = 180 deg

2A = 180-125 deg

A = 55/2 deg

A = 27.5 deg

now, we can find the measure of angle A by adding the two angles.

65 + 27.5 = 92.5 deg