Question

if two supplementary angles are in the ratio5:13,then find there measure​

Answer 1

Answer:

one is equal to 25 and the other is equal to 65

Step-by-step explanation:

a supplementary angle = 90 degree

13+5=18

90÷18=5

5×5=25 5×13=75

Answer 2

Question:-

• if two supplementary angles are in the ratio5:13,then find there measure

To find:-

• Measures if the 2 supplementary angles

Solution:-

• We know that sum of two supplementary angles is 180°.

• Let the angles be 5x and 13x

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \pink{ : \implies} \: 5x + 13x = 180 \degree$

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{: \implies} \: 18x = 180 \degree$

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \purple{: \implies} \: x = \frac{180}{18}$

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \orange {: \implies} \: \: \: x = 10$

• Therefore the required value for x is 10

Now the measures of angles:-

• $\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bullet \: : \implies 5x = 5 \times 10 = 50 \degree$
• $\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bullet \: : \implies \: 13x = 13 \times 10 = 130 \degree$

The measures of angles:-

• 50°
• 130°

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Learn more:-

What is supplementary angles?

• Supplementary angles are those angles that measure up to 180 degrees.