The following is a special trapezoid. Given AB || DC and m∠A = 113° Find the measure of ∠D.

1 answer:

6 0

The answer is 67°.
Since the parallel sides of a trapezoid are called bases, the bases in our given trapezoid are AB and DC. We know that the corresponding pairs of base angles, such as ∠A and ∠D, or ∠B and ∠C, are supplementary, therefore, their angles add up to 180 degrees:
∠A + ∠D = 180°
∠B + ∠C = 180°
Given that m∠A = 113°, we can calculate for the measure of ∠D:
113° + ∠D = 180°
∠D = 180° - 113° = 67°

You might be interested in

What is the equation, in point-slope form, for a line that goes through (2, −6) and has a slope of −3/4 ? y−6=3/4(x−2) y

Akimi4 [234]

The equation that is in point-slope form for a line that goes through (2,-6) and has a slope of -3/4 is y+6=-3/4(x-2).

The equation for point-slope is y-y1=m(x-x1). So just take the given info and plug it in. Since the y-point is negative, it becomes a positive in the equation.

7 0

3 years ago

Read 2 more answers

Can some one please help me?

lesya [120]

Height:shadow
so 3.5:1.06 and is the same as 50.5:x
we treat it as a fraction and get
3.5/1.06 and x/50.5

they should be equal
we know that if we multiply two equal fractions, with one flipped, then we will get 1 exg 1/2=4/8 1/2 times 8/4=8/8=1

so 3.5/1.06=x/50.5 3.5/1.06 times 50.5/x=1
176.75/1.06x=1
multiply both sides by 1.06x
176.75=1.06x
divide both sides by 1.06
166.745=x
round up to hundreds place
166.75m=accutal height

4 0

3 years ago

one year farmers recieved an average of $13.145 per bushel of wheat. How much did the farmer receive for selling 100 bushels of

djyliett [7]

multiply the 2 numbers together

100 x 13.145 = $1,314.50

3 0

3 years ago

Order from least to greatest [-2,4,23,-1,5,-3,6] absolute number

mihalych1998 [28]

Answer:

-3 < -2 < -1 < 4 < 5 < 6 < 23