Question

Analyze the diagram below and answer the question that follows.

Answer 1

Answer:

Option B.

Step-by-step explanation:

Option A would be true because if angle D is 70, then angle C will also be 70.

Both option C and D are true since angle D is 70, then angles A and B would have to be 110.

Thus, the false statement will be option B

Answer 2

Answer:

Based on the diagram the statement which is false is:

                      Option: B

             B.  m∠C=110°    

Step-by-step explanation:

The figure is in the shape of a trapezoid.

( Since it has a pair of parallel side and one pair of non-parallel sides )

Also, the property of the trapezoid are:

• The angles on each of the base has a same measure.

• The sum of the angles along the sides of the trapezoid are supplementary i.e. the sum of the angles is: 180 degree.

i.e. from the figure we have:

m∠A=m∠B

and  m∠C=m∠D

and ∠A+∠D=180°

We are given:

m∠D=70°

Hence, we have:

m∠B=70°

Also, m∠A=180°-m∠D

Hence, we have:

m∠A=180°-70°

Hence,

m∠A=110°

Hence,

m∠C=110°