Question

Find the value of x. Write your answer in simplest form.
55
65
75
85​

Answer 1

Answer:

The correct option is

Step-by-step explanation:

b. 65

Answer 2

75 degrees

Explanation:

• We have,

1. Tangents from a point 'H' onto circle 'G' such that the points where the tangents touch the circle E, F are such that $\angle$EHF=30 degrees
2. To Find -- $\angle$EJH

• Therefore, we proceed as thus:

                    $Firstly, \ we \ construct \ radii \ \bar {EG} \ and \ \bar {FG}\\\\We\ know\ from\ Properties\ of\ tangents,\\ \\\angle HEG = \angle HFG = 90^0\\\\\therefore in \ quadrilateral \ HEGF, \angle EGF = 150^0\\\\now \ we \ construct \ chord\ \bar{EF}\\\\We\ know \from \ Properties \ of \ Circles,\\\\\angle EGF = 2 \times \angle EJF\\\\we have \angle EGF = 150^0\\\\\therefore \angle EJF = \angle x = 75^0$

This gives us the value of x as 75 degrees.