Question

(2a +15)°and (a +30)° are the measures of two supplementary angles .what is the measure of each angle?

Answer 1

Answer:

(2a+15) + (a+30)=180°

2a+a+15+30=180°

3a + 45=180°

3a=180°-45

3a = 135

a= 135/3

a= 45

Step-by-step explanation:

2a+15

2*45+15

90+15

105

a+30

45+30

75

RHS.

105°+ 75°=180°

Answer 2

SOLUTION

GIVEN

(2a +15)°and (a +30)° are the measures of two supplementary angles .

TO DETERMINE

The measure of each angle

EVALUATION

Here it is given that (2a +15)°and (a +30)° are the measures of two supplementary angles

We know that two angles are said to be supplementary if sum of the angles = 180°

Thus we get

(2a +15)° + (a +30)° = 180°

⇒ 3a + 45° = 180°

⇒ 3a = 135°

⇒ a = 45°

First angle = (2a +15)° = 105°

Second angle= (a +30)° = 75°

FINAL ANSWER

The measure of angles are 105° , 75°

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