Question

I'm need help a question and I'm confuse.

Answer 1

Answer:

Step-by-step explanation:

Since angle ABD is 133 degrees and the sum of the angles in a triangle is 180 degrees, it means that

m∠ DAB + 133 + 22 = 180

m∠ DAB = 180 - 155 = 25 degrees

Also, ∆ ADC is an isosceles triangle because two of its sides are equal. It also means that the base angles are equal. Thus,

m∠ A = m∠ B

Therefore,

m∠ A + m∠ B + angle D = 180

m∠ A + m∠ B = 180 - 22 × 2

m∠ A + m∠ B = 180 - 44 = 136

m∠ A = m∠ B = 136/2 = 68 degrees

m∠ CAB + m∠ DAB = m∠ A

Therefore,

m∠ CAB = 68 - 25 = 43 degrees

Since ∆ ABC is isosceles, then

m∠ CAB = m∠ ACB

m∠ ACB = 43 degrees

m∠ ABC = 180 - (43 × 2) = 180 - 86

m∠ ABC = 94 degrees

m∠ BCD = 68 - m∠ ACB

m∠ BCD = 68 - 43 = 25 degrees