help please and thanks!
1) angle 2 and the 135deg angle are supplementary angles, their degree sum is 180 degrees. Thus
2) angle 2 = 180deg - 135deg = 45deg
3) we know the angles in a triangle sum to 180 degrees. The triangle shown has angle 1, angle 2=45deg, and a 90deg angle.
Thus angle 1 = 180-45-90 = 45deg
1 & 2)
Notice that angle 2 and the 135 degree angle are on the same line. That means that they are supplementary, or their angle sum is 180 degrees. This implies that angle 2 is 45 degrees.
Because the sum of the angles of a triangle is 180, and we know two of the angles, (90 degrees and 45 degrees), we can use this to find the measure of angle 1 as 180 - 45 - 90 = 45 degrees.