Find the value of the lettered angles in each of the following ( see image ). Please show workings.

The only given angles are 56° in the first circle and 65° in the second circle.

Note : O indicates the center of the circle is above it.​

Step-by-step explanation:

here's the solution :-

1.) =》f = 90°

( because angle made by diameter on circumference of the circle measures 90° )

2.) =》here,

g + f + 56° = 180°

( because the sum of all interior angles of the triangle measures 180° )

=》g + 90° + 56° = 180°

=》g + 146° = 180°

=》g = 180° - 146°

=》g = 34°

3.) h = 56°

( since, they form alternate interior pair which are equal )

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get