Question

Geomtry plz help 15 points

Answer 1

m∠E=57º

Explanation:

All angles in a triangle add up to 180º.

The triangle given is an isosceles triangle.

(4x+1)+(4x+1)+(5x-4)=180

Remove parentheses.

4x+1+4x+1+5x-4=180

Collect like terms.

13x+1+1-4=180

Add and subtract.

13x-2=180

Add 2 from both sides of the equation.

13x=182

Divide 13 from both sides of the equation.

x=14

m∠E=(4x+1)º

4x14+1=57º

m∠E=57º

Hope this helps :)

Answer 2

m∠E=57°

Explanation:

∠FDE=∠FED=(4x+1)° (base angles of isos triangle)

2(4x+1)+(5x-4)=180 (angle sum of triangle)

8x+2+5x-4=180

13x-2=180

13x=180+2

=182

x=182÷13

=14

Hence, m∠E = (4x+1)°

= [4(14)+1]°

= (56+1)°

= 57°