Step-by-step explanation: provided that DEFG is an isosceles trapezoid, wherein m∠D = 105° and m∠F = 75°.

You are watching: Defg is an isosceles trapezoid. find the measure of e.

We are to discover the measure of ∠E.

ISOSCELES TRAPEZOID is a trapezoid in i m sorry the basic angles are equal and so the left and also right next lengths are likewise equal.

Therefore, in the isosceles trapezoid DEFG, we have

m∠D = m∠G, m∠E = m∠F and DE = FG.

Since, m∠D = 105°, so m∠G = 105°.

The sum of every the four angles that a square is 360° and a trapezoid is a quadrilateral v a set of the contrary parallel sides, therefore in the trapezoid DEFG, us have

Thus, the measure up of ∠E is 75°.

12 cm.

Step-by-step explanation:

I drew the trapezoid in the picture. Together the trapezoid is isosceles we assume that the sides marked has the same length. So, the perimeter is

P= 5 cm+ 2 cm + 3 cm + 2 cm = 12 cm.

121 degrees

Step-by-step explanation: from a test

12

Step by action explaination:

Since PQRS is an isosceles trapezoid, two of its sides space equal. We deserve to assume the QR and PS is the pair that congruent sides due to the fact that of the ordering and naming that the entirety trapezoid. That means that you just include 2 because that the last side, PS, come the sum of all the other sides, giving you a complete of 12. (2+3+5=10, 10+2=12)

all the angles add up come 360 utilizing the equation 180(s - 2)=d

d is the degree and also s is the variety of sides. That is one iscocles triangle so if you mirror the angles are the same

75+75=150

360-150=210

there room two angle left so division by two

210/2=105

x and y same 105

B

Step-by-step explanation:

In one isosceles trapezoid the upper base angles are congruent, thus

∠ G = ∠ D = 121° → B

C. X=15, y=40 is the answer.

It"s D. 62 - apex

sum interior angles = 360°

(360 - 75 - 75) : 2 =

105°

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