Question

The ratio of the measures of two complementary angles is 7:8. W hat is the measure of the smaller angle?

Answer 1

Answer:

42°

Step-by-step explanation:

Solution:

let the angles be 7x & 8x

$\implies$ $\sf{7x + 8x = 90° }$

$\implies$ $\sf{15x=90° }$

$\implies$ $\sf{x={\Large\frac{90}{15}} }$

$\therefore$ $\sf{x=6 }$

smallest angle is 7x

$\implies$ $\sf{7(6) }$

$\therefore$ $\boxed{\sf{smallest\ angle = 42° }}$

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