Question

Write down value of x

Answer 1

Answer:

a

Step-by-step explanation:

Answer 2

Answer:

x = 65°

y = 71°

z = 44°

Step-by-step explanation:

• Value of x: 65

• Reason: the angle x is opposite to the 65° angle, this means that these two angles are congruent, thus they have the same value.

• Value of y: 71°

• Reason: the angle y is congruent to the angle of 71 ° this because if we lengthened the lines (similar to that shown with the angles x and 65 °) we will notice that the angle opposite to y is  71 ° and therefore y is also equal to 71 °

• Workout the size of angle z:

The sum of the interior angles in a triangle is always equal to 180 °, in this case the interior angles are x, y and z. Since we already know the values of x and y, we can find z by adding the values and equaling 180°:

65° + 71° + z = °180

and we solve for z:

136° + z = 180°

z = 180° - 136°

z = 44°