- We know that FG is a straight angle. Since ∠FED measures 90°,
that means that ∠GED also equals 90°. Since ∠DEC + ∠CEG
equals 90°, use m∠DEC = 43° to determine that ∠CEG = 47°.
Set 17
- e.∠ROT and ∠POT share a vertex point and one angle side.
However, it cannot be determined that they do not share any
interior points, that they form a straight line, that they form a right
angle, or that they are the same shape and size. The answer must
be choice e. - a. When angles are added together to make larger angles, the
vertex always remains the same. Choices cand d move the vertex
point to •R; consequently, they are incorrect. Choice bdoes not
name the vertex at all, so it is also incorrect. Choice eis incorrect
because we are given that the angles are adjacent; we know they
share side XZ; and we know they do not share sides XR and XA.
This is enough information to determine they make ∠RXA. - c. EQUATION:
m∠ABC – m∠EBA = m∠EBC
132° – 81° = 51° - d.EQUATION:
m∠SVT + m∠UVT = 180°
53° + m∠UVT = 180°
m∠UVT = 127° - d.Draw this particular problem out; any which way you draw it,
∠AOB and ∠BOE are supplementary. 90° subtracted from 180°
equals 90°. ∠AOB is a right angle.
501 Geometry Questions