Question

please include working

Answer 1

Answer:

x° = 135°

Step-by-step explanation:

y° + y° + y° = 180°

3y° = 180°

y° = 60°

x° = 180° - 45°

x° = 135°

Answer 2

Given : A figure

To Find :  Value of x

Solution:

Extend line with 75° angle

Hence angle formed exterior of triangle will be corresponding angle of x

Hence x = y + 75°

4th angle missing in Quadrilateral will be  180° - 75° = 105°

( As if line Extended  then a parallelogram will be formed and corresponding angle will be adjacent to angle 75° )

x + y + y + 105° = 360°  ( sum of angles of Quadrilateral )

=> y + 75° + y + y + 105° = 360°

=> 3y = 180°

=> y = 60°

x = y + 75°

=> x = 60° +  75°

=> x = 135°

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