Determine and state the measure of angle F

∠ F = 94°

Step-by-step explanation:

The opposite angles of the quadrilateral are supplementary, thus

∠ D + ∠ F = 180°, that is

86° + ∠ F = 180° ( subtract 86° from both sides )

∠ F = 94°

94

Step-by-step explanation:

Angle <D is an inscribed angle and the measure of it is equal to the half of the arc it sees

so the measure of arc EFG is 2×86° = 172°

Since the perimeter of a circle is 360° the measure of arc EDG would be 360 - 172 = 188

Therefore since the measure of angle <F should be half of the arc it sees as well the answer is 188 ÷ 2 = 94

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

answer: i don't understand it

step-by-step explanation: sorry