Question

then the measure of the larger angle is​

Answer 1

Answer:

• Larger angle is 108°.

Step-by-step explanation:

Given:-

• Two interior angles on same side of transversal are in ratio of 2:3.

To find:-

• Measure of larger angle.

Solution:-

Let, The angles be 2x and 3x.

We know that,

Sum of two interior angles forms on same side of transversal intersecting two parallel lines is 180°. This property is also known as Co-interior angle.

So,

➞ 2x + 3x = 180°

➞ 5x = 180°

➞ x = 180°/5

➞ x = 36°

Verification:-

➞ 2x + 3x = 180°

• Put x = 36°

➞ 2×36 + 3×36 = 180°

➞ 72° + 108° = 180°

➞ 180° = 180°

Hence, Verified.

2x = 2×36 = 72°

3x = 3×36 = 108°

Therefore,

Larger angle is 108°.

Answer 2

Answer:

$\huge \bf \: given$

Ratio of two interior angle = 2:3

$\huge \bf \: to \: find$

Measure of the larger angle

$\huge \bf \: solution$

As we know that sum of two interior angle of same side with two parallel line is 180⁰.

Let the angle be y

$2y + 3y = 180 \degree$

$5y = 180 \degree$

$y = \frac{180}{5}$

$y = 36$

$2y = 2 \times 36 = 72$

$3y = 3 \times 36 = 108$

Therefore the measure of larger side is 180⁰.