The sum of the ages of two Brothers is 43 years old and one of them is 15 years older than the other

Age of younger brother is 14 years..

And age if elder brother is 29 years.

Step-by-step explanation:

Let us denote 'x' as the age of smaller brother,

then, the age of younger brother will be x+15 years.

Equation formed:-

x+x+15 =43

2x+15 = 43

2x = 43-15

2x = 28

X = 28/2

X = 14

Age of younger brother is 14 years.

Age of elder brother = x + 15

Age of elder brother 14 + 15 = 29 years.

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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.