Finding angles June 23.2020

angle B is 38 degree

Step-by-step explanation:

In triangle ADC,

finding angle C

angle A + angle C = 110 degree (sum of two interior opposite angles are equal to the exterior angle formed)

46 + angle C = 110

angle C = 110 - 46

angle C = 64 degree

In triangle ABC

finding angle B

angle A + angle B + angle C = 180 degree (sum of interior angles of a triangle)

78 + angle B + 64 = 180

142 + angle B = 180

angle B = 180 - 142

angle B = 38 degree

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

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.