Question

A.)53
B.)37
C.)10
D.)21

Answer 1

Option A

Explanation:

Hey there!

From the given figure;

Angle ABE = 90°.

And angle ABD = [(5x+3)° +(3x+7)°]

To find : angle ABC.

Now,

Angle ABD + Angle ABE = 180° [Being linear pair].

or, 90° + [(5x+3)° +(3x+7)°]= 180°

or, (5x+3)° +(3x+7)°= 90°

or, 8x + 10° = 90°

or, 8x = 80°

Therefore, X= 10°.

Now, Angle ABC = (5x + 3)°

= (5*10+3)°

= 53°

Therefore, the measure of angle ABC is 53°.

Hope it helps!

Answer 2

Hello! answer: x = 10

Explanation:

10 × 5 = 50 50 + 3 = 53

10 × 3 = 30 30 + 7 = 37

53 + 37 = 80 therefore x = 10 hope that helps!

abc = 53