if x=34° find the measures of angles 1,2,3
if x=34° find the measures of angles 1,2,3
angle 2=90 degrees
angle3=angle1
x+angle1=90 degrees
so
x=34
34+angle1=90
minus 34 both sides
angle1=56 degrees=angle3
angle1=56°
angle2=90°
angle3=56°
If x = 34°
then ∡ 1 = 90° - 34°
= 56° (since the sum of the angles of a right angle is 90°)
∡ 3 = 180° - (90° + x)
= 180° - (90° + 34°)
= 56° (since angles on a straight line add up to 180°)
∡ 2 = 90° (since the angle opposite to it is 90°)