Question

solve for x

please make it fast​

Answer 1

Answer: x = 55°

Step-by-step explanation:

AC = CD

therefore it is isosceles triangle and hence angle(CAD) and angle(CDA) are equal.

CAD = CDA = 30°

Now, angle(BAD) = angle(BAC) + angle(CAD)

angle(BAD) = 65° + 30°

= 95°

Sum of interior angle of triangle is 180°

therefore, In triangle ABC

angle(BAD) + angle(ADB) + angle(ABD) = 180°

95° + 30° + angle(ABD) = 180°

angle(ABD) = 180° - 125°

angle(ABD) = 55°

Therefore, X is 55°

Hope it helps.

Answer 2

Answer:

x= 55 degree

Step-by-step explanation:

AC=CD ( given)

therefore

CAD = CDA =30 (angle opposite to equal side of triangle are equal )

now,

CAD+CDA+ACD= 180 ( angle sum property )

30+30+ACD= 180

ACD= 120

Now,

ACD+BCA= 180 (Linear pair angle)

120+ BCA=180

BCA= 60

IN TRIANGLE ABC

BAC+B+ACB = 180 (Angle sum property)

65+ x + 60 = 180

x= 180- 125

x = 55

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