Question

Which of the following is false about the figure?

a. m CUD = m VUM
b. M AUV + m DUA = 180
c. m MUC - m MUD = mzCUD
d. m PUD + m VUP = m PUM + m_CUA​

Answer 1

d.

Explanation:

Let's examine each statement:

Option A: m<CUD = m<VUM (CORRECT)

Rationale: vertical angles are congruent to each other.

Option B: m<AUV + m<DUA = 180 (CORRECT)

Rationale: angles on a straight line

Option C: m<MUC - m<MUD = m<CUD (CORRECT)

Rationale:

m<MUC = m<MUD + m<CUD

Subtract m<MUD from each side

m<MUC - m<MUD = m<CUD

Option D is FALSE

Rationale:

m<PUD + m <VUP = 180° (angles on a straight line)

m<PUM + m<CUA ≠ 180°

Therefore,

m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.