Question

label the following angles formed in the following figures
Find the value of x and the magnitude of the remaining angles​

Answer 1

Answer:

Step-by-step explanation:

a)Sum of all angles at vertex on straight line should be 180°

=> x° + 40° + x° + 50° = 180°

=> 2x + 90° = 180

=> 2x = 90°

=> x = 45°.

Thus the two angles are each equal to 45°.

b) Sum of all angles vertex on straight line should be 180°

30° + 2x - 10° + x + 10° + 15° = 180°

=> 3x + 45 = 180°

=> 3x = 135°

=> x = 45°

Thus the remaining angles here are 2*45 - 10 , 45 + 10 = 80°, 55°.

c) Sum of all angles at a point is always 360°

=> 2x + x + 60 + 45 + 60 = 360

=> 3x + 165 = 360

=> 3x = 195

=> x = 65°

Thus the remaining angles are 2*65 , 65 = 130° and 65°.