What is the measure of the highlighted angle?

130

Step-by-step explanation:

The two angles with measurements are vertical angles and vertical angles are equal

12x-2 = 10x+20

Subtract 10x from each side

12x-10x -2 =10x-10x+20

2x-2 = 20

Add 2 to each side

2x-2+2 =20+2

2x= 22

Divide each side by 2

2x/2 =22/2

x =11

We want to find 2x-2

12(11)-2

132-2

130

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.

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.