Question

What is the measure of ∠E?

Answer 1

Solution:-

Let the angle D and E be x

Using

Angle sum Property of triangle:-

=> 30°+x+x= 180°

=>2x=180°-30°

=>2x=150°

$x= \frac{150}{2}$

=>X= 75°

Option b) is correct

Answer 2

Answer:

75°

Step-by-step explanation:

Because ∆CDE is a isosceles triangle, And its Hand CE and CD are equal, so ∠D = ∠E (isosceles triangle rule), Angle C = 30°

so ∠D = ∠E

= ∠D + ∠E

= ∠D + ∠D

= 2∠D

Sum of all angles of triangle = 180°

=> ∠C + ∠D + ∠E = 180°

=> 30° + 2∠D = 180°

=> 2∠D = 180°-30°

=> 2∠D = 150°

=> ∠D = 150°÷2

=> ∠D = 75°

Because ∠D = ∠E

so ∠E = 75°

hope it helps.