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2. In parallelogram PQRS, angle Q = (4x - 5)º andS = (3x + 10)". Calculate : angle Q and angle R. 3. In rhombus ABCD :(i) if angleA = 74°; find angle B and angle C(ii) if AD = 7.5 cm; find BC and CD.4. In square PQRS :(i) if PQ = 3x - 7 and QR = x + 3; find PS.(ii) if PR = 5x and QS = 9x - 8. Find QS. |
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Answer» Answer: Step-by-step explanation: THE 2 ONE IS THE PIC3 .GIVEN Information:- In Rhombus ABCD, angle A = 74° AD = 7.5 cm To Find:- Angle B and C Measurement. Length of BC and CD. _______________________... 1. Angle of B and C measurement:- Here, Angle A = 74° Hence, Angle B = 180° - Angle A = 180° - 74° = 106° (Angle B value) Therefore, measurement of angle C: = 180° - Angle B = 180° - 106° = 74° (Angle C value) Hence, Angle B = 106° Angle C = 74° ______________________... 2. Length of BC and CD:- Here, AD = 7.5 cm As we know, in a Rhombus, P=4S (where P means Perimeter and S stands for sides) Henceforth, BC = 7.5 cm and also CD = 7.5 cm REQUIRED ANSWER:- Angle of B = 106 and of C = 74 .Length of BC and CD is 7.5 cm 4.As it is a Square : So, *All the sides are equal ... So, 3x-7=x+3 3x-x=7+3 2x=10 x=10/2 =>x = 5 Substituting: x+3 = 5+3 = 8 PS = 8 ≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡ We know that the diagonals of a square are equal Thus, PR = QS 5x = 9X - 8 4x = 8 x = 2. Now, QS = 9x - 8 = 18 - 8 = 10. Thus, QS = 10. ≡≡≡≡≡≡≡≡≡≡≡≡≡≡ I HOPE U UNDERSTAND MARK ME BRAINIEST !!!!!SARANGAE |
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