Question

5. In figure 3.9, measures of some angles are given. Using the measures find the values of x, y, z.
6. In figure 3.10, line AB || line DE. Find the measures of ZDRE and ZARE using given measures of some angles.​

Answer 1

Answer:

solution:

5) i) y + 100° = 180° [ Linear pair ]

=> y = 180 - 100

=> y = 80°

ii) z +140° = 180° [ Linear pair ]

=> z= 180° - 140°

=> = 40°

iii) In AENM,

x+y+z=180°

[Angle sum property]

=> x + 80° + 40° = 180°

=> x + 120° = 180°

=> x = 180° - 120°

=> x = 60°

Therefore,

x = 60°, y = 80°, z = 40°

.....

Step-by-step explanation:

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