A farmer harvests apples that are heavier than the average 5 kg weight for that variety. He plants the seeds from the harvest ho
2 answers:
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<u>Given</u>:
Given that the measure of the exterior angle F is 142°
We need to determine the measure of ∠DFE
<u>Measure of ∠DFE:</u>
The ∠DFE and the exterior angle F are linear pairs.
Thus, the linear pair of angles add up to 180°
Hence, we have;
Subtracting both sides of the equation by 142, we get;
Hence, the measure of ∠DFE is 38°
Thus, Option a is the correct answer.
Answer:
, ∠C ≅∠Z
, ∠A≅∠X
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
In this problem
The corresponding sides are
BA and YX
BC and YZ
AC and XZ
The corresponding angles are
∠A and ∠X
∠B and ∠Y
∠C and ∠Z
so
and
∠A≅∠X
∠B≅∠Y
∠C ≅∠Z
therefore
, ∠C ≅∠Z
, ∠A≅∠X