Question

If two angles are complementary and one angle is 100
greater than the other, then
the smaller angle of the two is

Answer 1

your answers is up

Answer:

If two angles are complementary and one angle is 100

greater than the other, then

the smaller angle of the two is

Answer 2

Note: Question should be like this,

If two angles are complementary and one angle is $\[10^\circ \]$ greater than the other, then  the smaller angle of the two is

Given,

Two angles are complementary and one angle is $\[10^\circ \]$ greater than the other angle.

Solution,

Consider the smaller angle is $\[x^\circ \]$.

$\[\begin{array}{l}x^\circ + \left( {x + 10} \right)^\circ = 90^\circ \\ \Rightarrow 2x^\circ + 10^\circ = 90^\circ \\ \Rightarrow 2x^\circ = 80^\circ \\ \Rightarrow x^\circ = 40^\circ \end{array}\]$

Hence the smaller angle is $\[40^\circ \]$.