Question

Find the measure of L p and Ls if SP||RQ in given figure if you find m L r is therefore than one method to find mL p​

Answer 1

Answer:

1. Priya decorated the border of a sqaure picture 80 cm long with a ribbon. How much ribbon did she use to decorate the whole square picture?

Step-by-step explanation:

Priya decorated the border of a sqaure picture 80 cm long with a ribbon. How much ribbon did she use to decorate the whole square picture?Priya decorated the border of a sqaure picture 80 cm long with a ribbon. How much ribbon did she use to decorate the whole square picture?

Answer 2

Answer:

Given SP is parallel to RQ and SR is the traversal drawn to these lines. Hence, SPQR is a trapezium.

∠S + ∠R = 180°

∠S + 90° = 180° [Since, ∠R = 90° in the given figure]

∠S = 180° - 90°

∠S = 90°

Using the angle sum property of a quadrilateral,

∠S + ∠P + ∠Q + ∠R = 360°

90° + ∠P + 130° + 90° = 360°

∠P + 310° = 360°

∠P = 360° - 310°

∠P = 50°

Alternate Method:

∠P + ∠Q = 180° (adjacent angles with SP || RQ )

∠P + 130° = 180°

∠P = 180° - 130°

∠P = 50°

Also,

∠S + ∠R = 180° (adjacent angles)

∠S + 90° = 180°

∠S = 180° - 90°

∠S =90°