Pls tell the answer of question 22, 23, 24: 22 Find the value of x,y and z in - Maths - Congruence of Triangles

Question

Pls tell the answer of question 22, 23, 24:

22 Find the value of x,y and z in the figure

23 From the adjoining figure, write
a) an angle adjacent to ∠ 1
b) A pair of angles forming a linear pair
c) A pair of vertically opposite angles
d) What is the sum ∠ 1+ ∠ 2+ ∠ 3+ ∠ 4+ ∠
5?

Shruti Tyagi · Accepted Answer

Dear student,

Question 22)
We have,50°+y+70°=180°             --[sum of angles on a straight line is 180°]⇒y+120°=180°  ⇒y=180°-120°   ⇒y=60°       --[1]Similarly,y+x+70°=180°                --[sum of angles on a straight line is 180°]⇒60°+x+70°=180°       --[from 1]⇒x+130°=180°⇒x=180°-130°⇒x=50°     --[2]Now, x+z=180°           --[linear pair]⇒50°+z=180° ⇒z=180°-50°⇒z=130°thus the values of x, y, and z are 50°, 60° and 130° respectively

For question 23 figure is not given as could not find angle 1
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Pls tell the answer of question 22, 23, 24: 22. Find the value of x,y and z in the figure. 23. From the adjoining figure, write . a) an angle adjacent to ∠ 1. b) A pair of angles forming a linear pair. c) A pair of vertically opposite angles. d) What is the sum ∠ 1+ ∠ 2+ ∠ 3+ ∠ 4+ ∠ 5?