Question

Wrile supplementary angles if its ratio are 7:2​

Answer 1

Answer:

Angle 1 = 140 degree

Angle 2 =40 degree

Hope this answer will help you.

Answer 2

Given:

• Ratio of supplementary angles are in the ratio of 7:2.

To Find:

• Measure of angles = ?

Solution:

We know that Supplementary angles add up to 180°. Thus, we can conclude that Supplementary angles are equal to the sum of 180°.

$\longrightarrow\sf{Supplementary \: angles = 180^{\circ}}$

According to question,

We are given the ratio of Supplementary angles which are in 7:2. Let the one angle be 7x and the other be 2x.

Combining both the equations which add up to their sum which is 180°.

Thus, we get:

$\longrightarrow\sf{7x + 2x = 180}$

Solving the equation:

$\longrightarrow\sf{7x + 2x = 180} \\ \\ \longrightarrow\sf{9x = 180 \: ... \: (Combining \: like \: terms} \\ \\ \longrightarrow\sf{x = \dfrac{\cancel{180}}{\cancel{9}}} \\ \\ \longrightarrow\sf{x = 20}$

Now,

Placing values of x as 20° in the given ratios:

$\\ \longrightarrow\sf{7x = 7 \times 20 = 140^{\circ}} \\ \\ \longrightarrow\sf{2x = 2 \times 20 = 40^{\circ}}$

Thus,

$\therefore$ The measure of supplementary angles are 140° & 40°.