Question

Help me plsss. Two consecutive angles of a parallelogram have measures (2x+7)° and (3x+8)°. What is the measurement of the larger angle?​

Answer 1

Answer:

Smaller angle is 73° and bigger angle is 107°

Step-by-step explanation:

Sum of consecutive angles = 180°

=> 2x + 7 + 3x + 8 = 180

=> 5x + 15 = 180

=> 5x = 180 -15

=> x = 165 ÷ 5

=> x = 33°

Smaller angle

= 2x + 7

= 2 × 33 + 7

= 66 + 7

= 73°

Bigger angle

= 3x + 8

= 3 × 33 + 8

= 99 + 8

= 107°

Answer 2

The measurement of the larger angle = 107°

Given :

Two consecutive angles of a parallelogram have measures (2x + 7)° and (3x + 8)°

To find :

The measurement of the larger angle

Solution :

Step 1 of 2 :

Form the equation

Here it is given that two consecutive angles of a parallelogram have measures (2x + 7)° and (3x + 8)°

We know that in a parallelogram the consecutive angles are supplementary

Thus we get

(2x + 7)° + (3x + 8)° = 180°

Step 2 of 2 :

Find the angles

(2x + 7)° + (3x + 8)° = 180°

⇒ 5x + 15° = 180°

⇒ 5x = 180° - 15°

⇒ 5x = 165°

⇒ x = 165°/5

⇒ x = 33°

Thus we get

First angle = (2x + 7)° = 73°

Second angle = (3x + 8)° = 107°

The measurement of the larger angle = 107°

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