Question

two supplementary angles are in the ratio 3:7 .find the angles​

Answer 1

Question:

• Two supplementary angles are in the ratio 3 : 7. Find the angles.

Process:

To solve this question we first need to know what is supplementary angles. So, supplementary angles are pair of angles whose sum is 180°.

So to solve, we will let the angles be 3x and 7x respectively. Hence, we can create an equation as follows: 3x + 7x = 180°.

After we get the value of x, we will substitute the value to 3x and 7x to get the value of the two angles.

Solution:

Let the angles be 3x and 7x respectively. Then,

3x + 7x = 180°

10x = 180°

x = $\mathtt{\dfrac{18\!\!\!\not{0}^\circ}{1\!\!\!\not{0}}}$

x = 18°

Because, x = 18°

Therefore, 1st angle = 3x = (3 × 18)° = 54°

2nd angle = 7x = (7 × 18)° = 126°

Extra Information:

• Supplementary Angles are pair of angles whose sum is 180°.
• Complementary Angles are pair of angles whose sum is 90°.
• Adjacent Angles are pair of angles with same vertex, one arm common and the other arms lying on opposite sides of the common arm.

REMEMBER:

• The sum of all angles formed on the same side of a line at a given point on the line is always 180°.
• The sum of all angles around a point is 360°.

Answer 2

Explanation:

hope it is helpful for you