Cr and ds are perpendiculars dropped from ab to pq , and ab is perpendicular to cr and ds . if cr = ds, which statement must be true?
a.) m∠rcd = m∠sdb ÷ 2
b.) m∠rcd = m∠acd
c.) m∠rcd = m∠acd ÷ 2
d.) m∠rcd = m∠acd ÷ 3
e.) m∠rcd = m∠acd × 2

Optin C. m∠RCD = m∠ACD ÷ 2

Step-by-step explanation:

CR and DS are the perpendiculars dropped from Ab and PQ.

CR = DS is given in the question.

we have to tell the true statement given in the options.

Since sum of all angles at a given point on a straight line is 180°

m∠ACD = m∠ACR + m∠RCD = 180°

it is given that m∠ACR = m∠RCD (CR is perpendicular to AB and PQ both)

Therefore m∠ACD = 2× m∠RCD

⇒ m∠RCD = m∠ACD ÷ 2

Therefore Option C). is the answer.

a - base

b - exponent

so,

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