if  angle A= angle B +angle C in triangle then value of angle A is

In a triangle, the sum of all angles is always \(180^\circ\). Given that:

\[
\angle A = \angle B + \angle C
\]

we can substitute this into the equation for the sum of angles in a triangle:

\[
\angle A + \angle B + \angle C = 180^\circ
\]

Replacing \(\angle A\) with \(\angle B + \angle C\):

\[
(\angle B + \angle C) + \angle B + \angle C = 180^\circ
\]

Simplifying, we get:

\[
2(\angle B + \angle C) = 180^\circ
\]

Dividing by 2:

\[
\angle B + \angle C = 90^\circ
\]

Thus, \(\angle A = 90^\circ\).

Would you like further clarification on the steps or have any questions?

### Related Questions
1. How do you find the measure of angles in different types of triangles?
2. What are the properties of a right triangle?
3. How does the angle sum property of a triangle help in solving for unknown angles?
4. Can the sum of two angles ever exceed \(180^\circ\) in a triangle?
5. What other triangle properties apply when one angle equals \(90^\circ\)?

### Tip
In any triangle, if you know that one angle equals the sum of the other two, it's a right triangle, with the known angle as \(90^\circ\).

If angle A = angle B + angle C in a triangle, then what is the value of angle A?

Understand how to find the value of angle A when it equals the sum of angles B and C in a triangle. Using the Triangle Angle Sum Property, discover why angle A equals 90°, making the triangle a right triangle. This solution is suitable for students in Grades 7-9.

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