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Answers
- The criteria for congruence of the above triangles is SAS.
- Since the triangles are congruent, by CPCT,
- ∠A = ∠R
- (2x + 15)° = (5x - 60)°
- 15 + 60 = 5x - 2x
- 75 = 3x
- 25 = x
Also,
- AB = QR
- 3x + 10 = 5y + 15
- 3*25 + 10 = 5y + 15
- 85 - 15 = 5y
- 70 = 5y
- 14 = y
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Step-by-step explanation:
i. AC=PR (GIVEN)
i. AC=PR (GIVEN) AB=RQ(GIVEN)
i. AC=PR (GIVEN) AB=RQ(GIVEN) Therefore angle A=angle R
i. AC=PR (GIVEN) AB=RQ(GIVEN) Therefore angle A=angle Rii. Since angles are equal.
i. AC=PR (GIVEN) AB=RQ(GIVEN) Therefore angle A=angle Rii. Since angles are equal.therefore
i. AC=PR (GIVEN) AB=RQ(GIVEN) Therefore angle A=angle Rii. Since angles are equal.therefore5x-60=2x+15
i. AC=PR (GIVEN) AB=RQ(GIVEN) Therefore angle A=angle Rii. Since angles are equal.therefore5x-60=2x+153x=75
i. AC=PR (GIVEN) AB=RQ(GIVEN) Therefore angle A=angle Rii. Since angles are equal.therefore5x-60=2x+153x=75x=25
i. AC=PR (GIVEN) AB=RQ(GIVEN) Therefore angle A=angle Rii. Since angles are equal.therefore5x-60=2x+153x=75x=25since sides are equal
i. AC=PR (GIVEN) AB=RQ(GIVEN) Therefore angle A=angle Rii. Since angles are equal.therefore5x-60=2x+153x=75x=25since sides are equaltherefore
i. AC=PR (GIVEN) AB=RQ(GIVEN) Therefore angle A=angle Rii. Since angles are equal.therefore5x-60=2x+153x=75x=25since sides are equaltherefore3x+10=5y+15
i. AC=PR (GIVEN) AB=RQ(GIVEN) Therefore angle A=angle Rii. Since angles are equal.therefore5x-60=2x+153x=75x=25since sides are equaltherefore3x+10=5y+153x+10=3×25+10
i. AC=PR (GIVEN) AB=RQ(GIVEN) Therefore angle A=angle Rii. Since angles are equal.therefore5x-60=2x+153x=75x=25since sides are equaltherefore3x+10=5y+153x+10=3×25+10 x = 85
i. AC=PR (GIVEN) AB=RQ(GIVEN) Therefore angle A=angle Rii. Since angles are equal.therefore5x-60=2x+153x=75x=25since sides are equaltherefore3x+10=5y+153x+10=3×25+10 x = 855y+15=85
i. AC=PR (GIVEN) AB=RQ(GIVEN) Therefore angle A=angle Rii. Since angles are equal.therefore5x-60=2x+153x=75x=25since sides are equaltherefore3x+10=5y+153x+10=3×25+10 x = 855y+15=855y=70
i. AC=PR (GIVEN) AB=RQ(GIVEN) Therefore angle A=angle Rii. Since angles are equal.therefore5x-60=2x+153x=75x=25since sides are equaltherefore3x+10=5y+153x+10=3×25+10 x = 855y+15=855y=70y=14