Set 26
- ∠∠b.∠b is the vertical angle to obtuse ∠2, which means ∠b is also
obtuse. The measurements of ∠2 and ∠b both exceed the measure
of ∠3. - ∠∠d.If ∠3 is acute, its supplement must be obtuse.
- ∠∠b.∠b is vertical to obtuse angle 2, which means ∠b is also
obtuse. The supplement to an obtuse angle is always acute. - ∠∠c.The measurement of an exterior angle equals the sum of
nonadjacent interior angles. Thus, the measurement of ∠c equals
the measurement of ∠1 plus the measurement of ∠3. It only makes
sense that the measurement of ∠c is greater than the measurement
of ∠1 all by itself. - Since side pis the shortest side, ∠P, the angle opposite it, will be
the smallest. - Since ∠R is the largest angle, the side that is opposite it, side r, will
be the longest. - If side r= 17mm and side p= 8mm, their sum of 25mm must be
larger than the length of the remaining side, n. Therefore, the
largest whole-numbered side length for side nis 24mm.
501 Geometry Questions