Question

10 (g.4a) name three points coplanar with point a
11 (g.5b) if ∠bfd and ∠afc are right - angles and m∠cfd = 72, find the value of the following:
note: figure not drawn to scale.
x=
record your answer and fill in the bubbles on your answer document. be sure to use the correct place value.
12 (g.5a, g.5c) which of the following best describes ∠dba and ∠cba in the following diagram.

Explanation:

10.

Step1: Recall coplanar points definition

Coplanar points lie on the same plane. Point A lies on plane P. Points B, D, G also lie on plane P.

Step1: Note angle - relationships

Since ∠BFD and ∠AFC are right - angles (90° each), and ∠CFD = 72°.

Step2: Use angle addition

We know that ∠BFD=∠BFC + ∠CFD. So, ∠BFC=∠BFD - ∠CFD.

Step3: Calculate ∠BFC

∠BFC = 90°-72° = 18°.

Step4: Observe vertical angles

∠BFC and ∠AFE are vertical angles, so ∠AFE=∠BFC = 18°.

Step5: Find x

x = 18

Step1: Analyze ∠DBA and ∠CBA

∠DBA and ∠CBA are adjacent angles that form a linear pair. A linear pair of angles are supplementary (their sum is 180°).

Answer:

J. B, D, G

11.