Question

Consider the measures of supplementary angles (4a+3)° and (a-3)°. What is the measure of the largest angle?​

Answer 1

Answer:

147°

Step-by-step explanation

(4a+3)° + (a-3)° = 180     (∵ When sum of two angles is 180° then they are called

⇒   5a = 180°                      supplementary angles)

⇒    a = 36°

∴ Largest Angle = (4*36 + 3)° = 147°

Answer 2

Answer:

Given:-

measure of one angle = (4a+3) °

measure of second angle = (a-3) °

To find:-

measure of the largest angle

Solution:-

(4a-3) ° + (a-3) ° = 180° {sum of supplementary angle}

5a = 180°

$\orange{a = \frac{180}{5} = 36}$

hence, the measure of greatest angle will be (4a+3) °

(4 × 36 + 3) ° (putting a value = 36)

147°

hence, the measure of the greatest angle is 147°