Question

In the given figure AB||CD, then find the measurements of the angles 1 and 2.​

Answer 1

Answer:

1 = 112°

2 = 106°

Step-by-step explanation:

Because a straight line's angle equals up to 180°, all we have to do is subtract 180° by the two parallel angle given in CD. Because both lines are congruent, we can use those numbers to find out the value of angle 1 and 2.

Answer 2

$\bf \underline{★Solution-}$

First, we should find the angles marked as x and y.

We know that the corresponding angles measure the same. So,

$\sf \leadsto x = {75}^{\circ}$

$\sf \leadsto y = {68}^{\circ}$

Now, we can find the values of the first and second angles.

Measurement of first angle :

$\sf \leadsto Straight \: line \: angle = {180}^{\circ}$

$\sf \leadsto y + \angle{1} = {180}^{\circ}$

$\sf \leadsto {68}^{\circ} + \angle{1} = {180}^{\circ}$

$\sf \leadsto \angle{1} = 180 - 68$

$\sf \leadsto \angle{1} = {112}^{\circ}$

Measurement of second angle :

$\sf \leadsto x + \angle{2} = {180}^{\circ}$

$\sf \leadsto {75}^{\circ} + \angle{2} = {180}^{\circ}$

$\sf \leadsto \angle{2} = 180 - 75$

$\sf \leadsto \angle{2} = {105}^{\circ}$

Hence, the values of first and second angle is 112° and 105° respectively.