Question

the ratio of the Supplementary angle and complementary angle of an angle is 13:4 find the measure of that angle ​

Answer 1

let the angle is x

complimentary angle of x = 90°-x

supplementary angle of x = 180°-x

$\frac{ {180}^{0} - x }{ {90}^{0} - x } = \frac{13}{4}$

(180°-x)*4=(90°-x)*13

720°-4x=1170°-13x

-4x+13x=1170°-720°

9x=450°

x=450°/9

x=50°

Answer 2

Answer:

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