Answer:
C. 70°
Step-by-step explanation:
The inscribed angle marked 15° intercepts an arc that is double that measure, so the intercepted arc on the right is 2×15° = 30°.
The external angle marked 20° is half the difference of the intercepted arcs, so is ...
20° = (1/2)(x - 30°)
40° = x - 30° . . . . . . multiply by 2
70° = x . . . . . . . . . . . add 30°
The value of x is 70°.
<u>Answer:</u>
The correct answer option is c. a = 11.94.
<u>Step-by-step explanation:</u>
We are given a right angles triangle with an angle ABC equal to 58 degrees and side length AC known to be equal to 19.1.
We are supposed to find the length of side a.
Side AC, opposite to angle ABC, will be the perpendicular and BC will be the base so we will use the formula of tan to find b.



In decimal form=-7.37
In fraction form plzz refer to the attachment
<1 and <2 are complementary : given
<1+<2=90 : definition of complementary
<1 congruent <3 : given
<2 congruent <4 : given
<3 congruent <4 : transitive property