Find the measure of angle A for the triangle shown.
.
.
.
Question content area top right
Part 1
66 degrees66°
26 degrees26°

The figure is not to scale.
Question content area bottom
Part 1
The value of angle A is  enter your response heredegrees°.

To solve for the measure of angle A in a triangle, we use the **Triangle Angle Sum Theorem**, which states that the sum of the interior angles in any triangle is always 180°.

Given:
- Angle B = 66°
- Angle C = 26°

Using the formula:
\[
\text{Angle A} + \text{Angle B} + \text{Angle C} = 180°
\]
Substituting the known values:
\[
\text{Angle A} + 66° + 26° = 180°
\]
Simplifying:
\[
\text{Angle A} + 92° = 180°
\]
Subtract 92° from both sides:
\[
\text{Angle A} = 180° - 92° = 88°
\]

Thus, the measure of angle A is **88 degrees**.

Would you like more details on this calculation or have any further questions?

Here are 5 related questions:
1. What is the Triangle Angle Sum Theorem?
2. How can you solve for an unknown angle in an isosceles triangle?
3. What happens if a triangle has one angle greater than 90°?
4. Can the angles in a triangle be less than 60° each?
5. How do you find the angles of a right triangle if only one angle is known?

**Tip**: Always double-check your angles sum to 180° in a triangle calculation.

Find the measure of angle A for the triangle shown. Given angles are 66° and 26°. The value of angle A is __ degrees.

Discover how to find the measure of angle A in a triangle where two angles are given as 66° and 26°. Learn the application of the Triangle Angle Sum Theorem, suitable for students in Grades 6-8. Step-by-step solution provided.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation