25 points-
find the measure of angle chf.

Hello!

as you can see, ∠AHB is equal to 40°

∠CHF is vertical to ∠AHB

Vertical angles are always congruent, or similar

therefore, ∠CHF = ∠AHB

∠CHF = 40°

I hope this helps, and have a nice day!

∠CHF = 115°

Step-by-step explanation:

∠CHF is a chord - chord angle formed by the chords AC and FB

The measure of the angle is

∠CHF = 0.5( m arc CF + m arc AB, that is

∠CHF = 0.5( 100 + 60 + 30 + 40) = 0.5(230) = 115°

points are handed out whenever you post answers.

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the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.