Question

1. two complementary angles are in the ratio 2:7. find the measure of the larger angle.

10°	gray
20°	yellow
70°	dark green

Explanation:

Step1: Define variables for angles

Let angles be $2x$ and $7x$ (ratio 2:7).

Step2: Use complementary angle sum

$2x + 7x = 90^\circ$ → $9x = 90^\circ$ → $x = 10^\circ$.

Step3: Calculate larger angle

Larger angle = $7x = 7×10^\circ = 70^\circ$.

Answer:

70° (corresponding to dark green)