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

2 thoughts on “if two supplementary angles are in the ratio5:13,then find there measure​”

1. 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

   [tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \pink{ : \implies} \: 5x + 13x = 180 \degree[/tex]

   [tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{: \implies} \: 18x = 180 \degree[/tex]

   [tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \purple{: \implies} \: x = \frac{180}{18} [/tex]

   [tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \orange {: \implies} \: \: \: x = 10[/tex]

   • Therefore the required value for x is 10

   Now the measures of angles:-

   • [tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bullet \: : \implies 5x = 5 \times 10 = 50 \degree[/tex]
   • [tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bullet \: : \implies \: 13x = 13 \times 10 = 130 \degree[/tex]

   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.

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2. 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

   Reply