Given: circle k(o), dc ∥ ab , ac ∩ db =0, m ad =124°find: m∠c, m∠aob.

Part 1) The measure of angle C is

Part 2) The measure of angle AOB is

Step-by-step explanation:

step 1

Find the measure of angle C

we know that

The inscribed angle measures half that of the arc comprising

so

we have

substitute

step 2

Find the measure of angle AOB

we know that

In the isosceles triangle  ODC

∠D=∠C=62°

Remember that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

∠D+∠C+∠DOC=180°

substitute the values

62°+62°+∠DOC=180°

∠DOC=180°-124°=56°

we have that

∠AOB=∠DOC -----> by vertical angles

so

∠AOB=56°

answer:   expression= p+p*d%

price reduction + sale price = $625

sale price: $p+$p*d%

where d% is the percentage of discount

step-by-step explanation:

original price = p

price went down by $150 price reduction $p*d%

sale price= $ 475

therefore the price before sale is: $625

and the expression that shows the price before sale is: p+p*d%

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