Step-by-step explanation:
the sum of all angles around a single point on obesity side of a line is always 180°. because the line can be seen as a diagonal of a circle, the point is the center of the circle, and one side of the line is then representing a half-circle, which stands for 180°.
so,
Q + 134 = 180
Q = 180 - 134 = 46°
Q + T + 65 = 180
T = 180 - 65 - Q = 180 - 65 - 46 = 69°
P + 65 + T = 180
P = 180 - 65 - T = 180 - 65 - 69 = 46°
you notice that P = Q ?
that is also because of the rule that the angles of intersecting lines on both sides of any line are the same just mirrored. therefore, P = Q, 134 = 65 + T
