Question

two angles x and y form a linear pair and another angle z is one third of the angle x. If the sum of the angles is 220°. Fond x,y,z​

Answer 1

Answer:

Ncert solutions

Grade 7

Mathematics

Science

Chapters in NCERT Solutions - Mathematics, Class 7

Exercises in Lines and Angles

Question 12

Q12) Find the values of the angles x, y, and z in each of the following:

i)

ii)

Solution 12:

i) ∠x = ∠ 55° (Vertically opposite angle)

∠x + ∠y = 180° (Adjacent angles)

55° + ∠y = 180° (Linear pair angles)

Therefore, ∠y=180° - 55° = 125°

∠y = ∠z

Hence, ∠x=55° , ∠y=125° and ∠125°

ii) 25° + x + 40° = 180°

65° + x = 180°

Therefore, x = 180° - 65° = 115°

40° + y = 180° (Linear pairs)

Therefore y = 180° - 40° = 140°

y + z = 180° (Linear pairs)

140° + z = 180°

Therefore z = 180° - 140° = 40°

Hence , x - 115°

y = 140° and z = 40°