https://r2.erweima.ai/mathbot/image/17201150496676l3drin8.png

If the two angles are complementary, find the measure of each of angle.



A. 140 and 40
B. 35 and 10
C. 70 and 20
D. 36 and 126

To find the measures of the angles, we need to use the fact that complementary angles add up to 90 degrees.

Given angles are \((7f)^\circ\) and \((2f)^\circ\).

The equation for complementary angles is:
\[ 7f + 2f = 90^\circ \]

Solving for \(f\):
\[ 9f = 90 \]
\[ f = \frac{90}{9} \]
\[ f = 10 \]

Now, substitute \(f\) back into the expressions for the angles:
\[ 7f = 7 \times 10 = 70^\circ \]
\[ 2f = 2 \times 10 = 20^\circ \]

So, the measures of the angles are \(70^\circ\) and \(20^\circ\).

The correct answer is:

C. 70 and 20

Would you like further details or have any questions about this solution?

Here are some questions you can ask:
1. Can you explain the concept of complementary angles in more detail?
2. How can I determine if two angles are complementary without solving an equation?
3. What are supplementary angles and how do they differ from complementary angles?
4. How can I solve similar angle problems involving more complex equations?
5. Can you provide another example of finding complementary angles with different expressions?

**Tip:** Remember that complementary angles always sum up to 90 degrees, while supplementary angles sum up to 180 degrees.

Learn how to find the measures of complementary angles with a detailed step-by-step solution. This problem involves understanding complementary angles, where two angles add up to 90 degrees. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation