Answer for 44 points otherwise I will report please anyone help will mark as brainliest and say thanks also.. please exam is tom
Answers
Answer in the pic below.
Question:
Measure the angles of two triangles given below :
In triangle ABC , A = 70° , B = 80°
In triangle PQR , Q = 80° , R = 30°
BC = QR
Are the two triangles congruent ?
State the congruency rule used here .
Answer:
In triangle ABC ,
A + B + C = 180°
⇒ 70° + 80° + C = 180°
⇒ 150° + C = 180°
⇒ C = 180° - 150°
⇒ C = 30°
In triangle PQR ,
P + Q + R = 180°
⇒ P + 80° + 30° = 180°
⇒ P + 110° = 180°
⇒ P = 180° - 110°
⇒ P = 70°
In Δ PQR and Δ ABC ,
∠ P = ∠ A [ 70° each ]
∠ R = ∠ C [ 30° each ]
QR = BC [ Given ]
Δ PQR ≅ Δ ABC [ A.A.S ]
The rule of congruency is A.A.S axiom [ Angle Angle Side congruency ] .
Step-by-step explanation:
The first property of triangle that is used here is the angle sum property .
The angle sum property of triangles states that " Sum of all angles of a triangle is equal to 180° ".
We use the property to find the unknown angles .
The A.A.S axiom states that when the 2 angles and any side of 2 triangles are equal , then they are congruent .