Question

If two supplementary angles are (7a+58)degree and (16a+53)degree then what will be the value of 2a.

Answer 1

Answer:

supplementary angles are two angles whose measures add up to 180°  .

Here, two supplementary angles are (7a+58)degree and (16a+53)degree

sum of two supplementary angles is 180°

(7a+58)+(16a+53) = 180°

⇒(7a+16a)+(58+53) = 180°

⇒23a+111 = 180°

⇒23a = 180°-111

⇒23a = 69

⇒ a =$\frac{69}{23}$

⇒ a =3

as per que

2a = 2×3=6

∴The value of 2a is 6

Step-by-step explanation: