Answer:
The value of x is 128°
Step-by-step explanation:
The sum of all angles lies a straight line is 180°
Therefore, (x + 3)° + 49 = 180°
Open all the bracket on LHS.
→ x° + 3° + 49°= 180°
→ x° + 52° = 180°
Shift constant from LHS to RHS, changing it's sign.
→ x° = 180° - 52°
→ x° = 128°
Therefore, x = 128°
<u>Explore</u><u> </u><u>More:</u>
The given angle are substitute x = 128°
(x + 30)° = (128 + 30)° = <u>1</u><u>5</u><u>8</u><u>°</u>
and
49°
<u>Answer</u><u>:</u> Hence, the measurement of angles are 158° and 49°.
<u>Verification</u><u>:</u>
(x + 3)° + 49° = 180°
→ (128 + 3)° + 49° = 180°
→ (131)° + 49° = 180°
→ 131° + 49° = 180°
→ 180° = 180°
LHS = RHS
Hence, verified.
Please let me know if you have any other questions.