Answer:
x = 8°
Step-by-step explanation:
Because this triangle is an equilateral triangle, as indicated by the lines which say all lines are congruent, it means every angle, R S and T, are exactly the same amount. 60°
This means that angle S = 60 so:
7x +4 = 60
Simply move the 4 over to the other side, making it a negative:
7x = 60 - 4
7x = 56
So now simply divide both sides by 7:
x = 8
<h3>So the value of x is 8°!</h3>Answer
Find out the measure, in degrees, of angle ABC .
To prove
The relationship between inscribed angles and their arcs
The measure of an inscribed angle is half the measure the intercepted arc.
The formula is
As given in the diagram
The measure of the intercepted arc A to B is 120°.
Put value in the formula
∠ABC = 60°
Therefore the measure of the ∠ABC is 60° .
