Question

Question

A figure consists of four angles. The angle measures are as follows: m∠1=65° , m∠2=90° , m∠3=30° , and m∠4=25° . Which two angles are complementary angles? Identify by the angle number and not the degree measurement. List the smaller angle value first and the larger angle value second.(1 point)
smaller ∠
and larger ∠

Answer 1

To find complementary angles, we look for two angles that sum to 90 degrees.

From the given angles:

• m∠1 = 65°
• m∠2 = 90°
• m∠3 = 30°
• m∠4 = 25°

Now we check which pairs sum to 90 degrees:

• ∠1 (65°) + ∠3 (30°) = 95° (not complementary)
• ∠1 (65°) + ∠4 (25°) = 90° (complementary)
• ∠2 (90°) (not complementary with any other angle)
• ∠3 (30°) + ∠4 (25°) = 55° (not complementary)

The two angles that are complementary are: smaller ∠4 and larger ∠1.

So, the answer is: 4 and 1.