Answer:
160°
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in a triangle is 180°. The sum of angles in the given triangle is ...
x + (x +4) + 20x = 180
22x +4 = 180 . . . . . . . . . . collect terms
22x = 176 . . . . . . . . . . subtract 4
x = 8 . . . . . . . . . . . divide by 22
20x = 160 . . . . find the largest angle
The measure of the largest angle is 160°.
A) 2 with an exponent of 6
Answer: The two triangles are similar because the angles are congruent.
Step-by-step explanation: If you add the given measures of the angles given, then subtract from 180, the remainder is equal to the measure of the angle given for the other triangle.
180 - (103 + 22) = 55
180 - (22 + 55) = 103
So both triangles have the same angle measurements.
The measure of the angle formed by 2 chords that intersect inside the circle is 1/2 the sum of the chords' intercepted arcs.
m∠RST = (143+33)/2 = 176/2 = 88°