Answer:
Step-by-step explanation:
4⁴ * 4³ = 4⁴⁺³ = 4⁷
In multiplication, if base are same, add the powers
∠R = ∠Q, AS = AT Given
∠5 = ∠6 Base ∠'s of isosceles triangle are =
∠4, ∠5 are supplementary and ∠6, ∠7 are supplementary Exterior sides in opposite rays
∠4 = ∠7 Two ∠'s supplementary to equal ∠'s are =
Triangle RAS congruent to Triangle QAT AAS
RS = QT CPCTE
Given data:
m∠P = m∠R and TP = SR
To prove that ΔQTP ≅ ΔQSR:
Consider ΔQTP and ΔQSR,
m∠P = m∠R (given angle)
TP = SR (given side)
m∠Q = m∠Q (common angle)
∴ ΔQTP ≅ ΔQSR (by ASA congruence rule)
Hence ΔQTP and ΔQSR are congruence triangles by Angle - Side - Angle congruence rule.
