Question

ABCD is a square find angle AEF​

Answer 1

AFE = 25

Step-by-step explanation:

we know that angle sum property= 180

AEF + AFE + FAE =180

AFE + 110 + 45 =180

AFE + 155 = 180

AFE = 180 - 155

AFE = 25

Answer 2

Step-by-step explanation:

Const: Take a point G on CD such that angle DAG is 20°

∆AGE and ∆AEF are congruent (angle GAE 20°+25°=45° and angle EAF=45° Angle AGD = 70° = Angle FEA so angle X=65° (and angle EFB=70°)

To find perimeter EF+ EC+ FC=2 answer

Hnt: DE=tan angle DAC= tan y (say)

BF= 1 - tan (45-y) using formula

tan (A-B ) = (tanA - tanB)/(1+tanA.tanB)

BF=2tan y/(1 + tan y) and EC =1 - tan y

EC+ BF+FC = (1 - tan y) +2tan y/(1 + tan y) +( 1 - (45-y) simplify to get ander as 2

using Pythagorus theorem (EF)sq=(EC)sq+(FC)sq