Question

1. In triangle ABC, AB = AC, angle A = 2x® and angle B = x + 10º. Find the
measures of all the angles of triangle ABC.
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Answer 1

Answer:

x=40°

Step-by-step explanation:

angle B = angle C ( angles opposite to equal sides are equal)

x + 10 degree + x + 10 degree + 2x equals to 180 degree (angle sum property of a triangle)

= 4x=180°-20°

=x=160°÷4=40°

Answer 2

Answer:

so, AB =AC

ABC +BCA +CAB = 180 DEGREES

2(x + 10) + 2x =180

2x +20 +2x =180

4x +20 =180

4x = 180 -20

4x = 160

x = 160/4

x = 40

angle A = 2 x 40

= 80 degree

angle B =angle C = X +10

=X =40 +10

=X = 50

total measure of all angle

50 +50 +80 = 180 degree