Question

How do you find the measurement of the angle ECB? can someone help me plz

Answer 1

Answer:

m<ECB = 34

Step-by-step explanation:

I will assume that the quadrilateral is a parallelogram because I don't think there is a unique solution without that assumption.

Look at triangle CDE.

The sum of the measures of a triangle is 180 deg.

m<DCE + m<CDE + m<CED = 180

30 + m<CDE + 90 = 180

m<CDE = 60

m<ADC = m<ADE + m<CDE

m<ADC = 56 + 60

m<ADC = 116

m<B = m<ADC = 116

Consecutive angles of a parallelogram are supplementary.

m<ADC + m<BCD = 180

116 + m<BCD = 180

m<BCD = 64

m<BCD = m<ECB + m<ECD

64 = m<ECB + 30

m<ECB = 34