In quadrilateral abcd , ab ∥ cd, and m∠2=35°.

what is m∠5?

enter your answer in the box.

The measure of is .

Given:

In Quadrilateral and .

To find:

The measure of .

Explanation:

If a transversal line intersects two parallel lines then the alternate interior angles are congruent.

In the given figure and . So,

            (Alternate interior angles)

Therefore, the measure of is .

Learn more:

link

we know that

Alternate interior angles are two interior angles which lie on different parallel lines and on opposite sides of a transversal. Alternate interior angles are congruent

In this problem

the parallel lines are AB and CD

the transversal line is BD

then

m∠5=m∠2 ------> by alternate interior angles

m∠5=

therefore

the answer is

m∠5=

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.