Question

In the figure, find the measure of angle ABE
step by step explanation ​

Answer 1

Hello,Buddy!!

Given:-

• ∠DEm = 5x-24°
• ∠ABE = 3x+28°

To Find:-

• Value of ∠ABE.

Required Solution:-

WKT

• Corresponding Angles are Equal.

∠DEm = ∠ABE [Corresponding Angles]

$5x - 24 = 3x + 28 \\ 5x - 3x = 28 + 24 \\ 2x = 52 \\ x = \frac{52}{2} \\ x = 26$

By Substituting Value of x

→ 3x+28

→ 3(26)+28

→ 78+28

→ 106

• Value of ∠ABE ➪ 106°

@MrMonarque♡

Hope It Helps You ✌️ [tex][/tex]

Answer 2

Given :-

→ ∠DEm = 5x - 24°

→ ∠ABE = 3x + 28°

To Find :-

→ ∠ABE

Solution :-

As we can see in the figure,

$\sf →∠ABE = ∠DEm$(Corresponding angles)

$\sf →5x - 24 \degree = 3x + 28 \degree$

$\sf →5x - 3x = 28 \degree + 24 \degree$

$\sf →2x = 52 \degree$

$\sf →x = \frac{52}{2} \degree = 26 \degree$

Putting value of x = 26° in ∠ABE,

$\sf →∠ABE = 3x + 28 \degree$

$\sf →3(26) + 28$

$\sf →78 \degree + 28 \degree = 106 \degree$

Hence ∠ABE is equal 106°.