Question

Find the value of (x and z)? in the following figure.​

Answer 1

Answer:

Here x + 60° = 180° (Linear pair) ⇒ x = 180° – 60° = 120° Again, y + 100° = 180° ⇒ y = 180° – 100 = 80° Similarly, z + 130° = 180° ⇒ z = 180° – 130° = 50° We know that the sum of all interior angles of an n sided polygon is (2n – 4) right angle. ∴The sum of all interior angles of 5 sided polygon = (2 x 5 – 4) x 90° = 6 x 90° = 540° Let the remaining two angles of pentagon be a and b. Then a + b + x + 100° + 130° = 540° ⇒ a + (180° – 85°) + 120° + 100° + 130° = 540° ⇒ a + 95° + 120° + 100° + 130° = 540° ⇒ a + 445° = 540° ⇒ a – 540° – 445° = 95° ∴w = 180° – a = 180° – 95° ⇒ w = 85°Read more on Sarthaks.com - https://www.sarthaks.com/814416/find-the-values-of-unknown-angles-x-y-z-and-w-in-the-following-figure

Answer 2

Answer:

• X = 95 deg
• X = 30 deg Z = 60 deg
• X = 45 deg
• X = 100 deg

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