Two complementary angles are in the ratio 4 - 5- Find the angles-

Question

Toppr Admin · Accepted Answer

Let the two angles be 4x and 5xThe sum of two complementary angles is 90-x2218-x2234-4x-5x-90-x2218-x21D2-9x-90-x2218-x21D2-x-90-x2218-9-10-x2218-So the angles are 4-xD7-10-x2218-40-x2218- and 5-xD7-10-x2218-50-x2218-

Two complementary angles are in the ratio $4 : 5$ . Find the angles.

Let the two angles be $4 x$ and $5 x$

The sum of two complementary angles is $90^{\circ}$

$∴ 4 x + 5 x = 90^{\circ}$

$\Rightarrow 9 x = 90^{\circ}$

$\Rightarrow x = \frac{90^{\circ}}{9} = 10^{\circ}$
So the angles are $4 \times 10^{\circ} = 40^{\circ}$ and $5 \times 10^{\circ} = 50^{\circ}$

Two complementary angles are in the ratio 4:5. Find the angles.

Let the two angles be 4x and 5xThe sum of two complementary angles is 90∘∴4x+5x=90∘⇒9x=90∘⇒x=90∘9=10∘So the angles are 4×10∘=40∘ and 5×10∘=50∘

Two complementary angles are in the ratio $4 : 5$ . Find the angles.

Let the two angles be $4 x$ and $5 x$

The sum of two complementary angles is $90^{\circ}$

$∴ 4 x + 5 x = 90^{\circ}$

$\Rightarrow 9 x = 90^{\circ}$

$\Rightarrow x = \frac{90^{\circ}}{9} = 10^{\circ}$
So the angles are $4 \times 10^{\circ} = 40^{\circ}$ and $5 \times 10^{\circ} = 50^{\circ}$