Answer:
x = 71
Step-by-step explanation:
The sum of the angles in a triangle is 180
x +82+27 =180
Combine like terms
x +109 = 180
Subtract 109 from each side
x+109-109 = 180-109
x = 71
Answer: (1, 6) and (12, 72)
Step-by-step explanation:
Answer:
Given: Quadrilateral P QR S is a rectangle.
To prove :PR= Q S
Construction : Join PR and Q S.
Proof: In Rectangle PQRS, and
→ taking two triangles PSR and Δ QRS
1. PS = Q R
2. ∠ PS R = ∠ Q RS [Each being 90°]
3. S R is common.
→ ΔP SR ≅ Δ Q RS → [Side-Angle-Side Congruency]
∴ PR =Q S [ corresponding part of congruent triangles ]
Hence proved.