Question

(A+30)° and 2a° are the measures of two supplementary angles find the value of a and the measures of each angle

Answer 1

Answer:

(a+30°) +2a=180.... measure of a supplementary angle is 180°

a+30+2a=180

3a+30=180

3a=180-30

3a=150

a=150/3

a=50

Answer 2

$\Large{\underline{\underline{\textsf{\maltese\: {\red{Given :-}}}}}}$

☞ (a + 30)° and 2a° are supplement of each other.

$\Large{\underline{\underline{\textsf{\maltese\: {\red{To Find :-}}}}}}$

☞ Measure of (a + 30)° and 2a° = ?

$\Large{\underline{\underline{\textsf{\maltese\: {\red{Concept Implemented :-}}}}}}$

» The sum of two supplementary angles is 180°.

$\Large{\underline{\underline{\textsf{\maltese\: {\red{Solution :-}}}}}}$

⨳ (a + 30)° + 2a° = 180° [Supplementary angle]

⇒ a + 30° + 2a = 180°

⇒ 3a + 30° = 180°

⇒ 3a = 180° - 30°

⇒ 3a = 150°

⇒ a = $\sf \dfrac{150^\circ}{3}$

⇒ a = 50°

Now we find the measure of the both angles by putting the value of ‘a’ that we have obtained.

☯︎ (a + 30)°

= 50° + 30°

= 80°

☯︎ 2a°

= 2 × 50°

= 100°

∴ The measure of the angles are 80° and 100° respectively.