Question

two complementary angles differ by 42° . Find the angles. ​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$\bf let \: the \: angle \: be \: x$

$\bf then$

$\bf 2nd \: angle \: will \: be \: x + 42$

$\bf we \: know \: that$

$\bf sum \: of \: measures \: of \: complementary$

$\bf angle \: is \: 90$

$\bf⇒x + x + 42 = 90$

$\bf⇒2x + 42 = 90$

$\bf⇒2x = 90 - 42$

$\bf⇒2x = 48$

$\bf⇒x = \frac{48}{2}$

$\bf⇒x = 24$

$\therefore therefore$

$\bf th e\: smaller \: angle = 24$