Congruent Triangles std8 Page-18.3 EM

Two Triangles | Find All Angles | Given ∠B and ∠R

📐 Two Triangles | Find All Angles

Given ∠B in ΔABC and ∠R in ΔPQR | Use angle sum property

△ ABC
A B C
∠B = ?° (given) ∠A = ?° ∠C = ?°
△ PQR
P Q R
∠R = ?° (given) ∠P = ?° ∠Q = ?°
🔍 Use Triangle Angle Sum Property: ∠A + ∠B + ∠C = 180° 📐 Similarly, ∠P + ∠Q + ∠R = 180° 📍 Triangles are independent (no congruence given)
✍️ Find all angles of both triangles
1 Find ∠A
In ΔABC, ∠B = ?°. If ∠C = ?°, what is ∠A?
2 Find ∠C
In ΔABC, ∠B = ?°. If ∠A = ?°, what is ∠C?
3 Find ∠P
In ΔPQR, ∠R = ?°. If ∠Q = ?°, what is ∠P?
4 Find ∠Q
In ΔPQR, ∠R = ?°. If ∠P = ?°, what is ∠Q?
5 Value of ∠A
∠A = ? degrees
6 Value of ∠C
∠C = ? degrees
7 Value of ∠P
∠P = ? degrees
8 Value of ∠Q
∠Q = ? degrees