- The interior angles of ΔBOT sum to 180° and since you know
that m∠TBO = 55°, and m∠BTO = 66°, then you need to solve for
m∠BOT in the equation = 55° + 66° + m∠BOT = 180°. Using
algebra to solve the equation, the m∠BOT = 59°. - The interior angles of ΔPUT sum to 180° and since you know that
m∠PTU = 24° (from question 106 ), and m∠TPU = 90°, then you
need to solve for m∠PUT in the equation = 24° + 90° + m∠PUT =
180°. Using algebra to solve the equation, the m∠PUT = 64°.
Set 22
- Equal.Together ∠5 and ∠6 form the vertical angle pair to ∠2.
Consequently, the angles are congruent and their measurements
are equal. - They cannot be determined.∠1 and ∠3 may look like vertical
angles, but do not be deceived. Vertical angle pairs are formed
when lines intersect. The vertical angle to ∠1 is the full angle that
is opposite and between lines mand l. - Adjacent supplementary angles.∠1 and ∠2 share a side, a vertex
and no interior points; they are adjacent. The sum of their
measures must equal 180° because they form a straight line; thus
they are supplementary. - 90°.∠6, ∠5, ∠4, and ∠3 are on a straight line. All together, they
measure 180°. If ∠6 is a right angle, it equals 90°. The remaining
three angles must equal 180° minus 90°, or 90°. - They cannot be determined.∠6 and ∠2 may look like vertical
angles, but vertical pairs are formed when lines intersect. The
vertical angle to ∠2 is the full angle that is opposite and between
lines mandl. - 180°.
501 Geometry Questions