Question

in the adjoining figure M parallel to N and P parallel to Q if angle 1 is equal to 75 degree prove that angle 2 is equals to angle 1 +1upon 3 of a right angle​

Answer 1

Answer:

i guess the question is wrong ..

angle 1 + angle 2 is 180 therefore angle 2 is 105° and 105 not equals to 120 which is 4/3 of 90°

Answer 2

Given : $\angle 1 = 75^\circ$

To prove : $\angle 2 = \angle 1 + \frac{1}{3}90^\circ$

Step-by-step explanation:

here ,

$\angle 1 = 75^\circ$

from the figure

since m ║n

∠1 + ∠x = 180° (co interior angles )

75 + x = 180

∠x = 180°- 75°

∠x = 105°

now , P║Q

∠2 = ∠x = 105° (corresponding angles )

$\angle 2 = \angle 1 + \frac{1}{3}90^\circ \\\\\angle 2 =75^\circ + 30^\circ \\\\\angle 2 =105^\circ$

hence proved

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