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.