What is the measure of the missing angle?

a. 222

b. 48

c. 132

d. 42

D. 42 degrees

Step-by-step explanation:

One angle is a right angle, so its measure is 90 degrees.

An exterior angle measures 132 degrees. That exterior angle is supplementary to one of the interior angles of the triangle.

180 deg - 132 deg = 48 deg

The interior angle adjacent to the 132-deg exterior angle measures 48 deg.

The measures of the interior angles of a triangle add to 180 deg.

90 + 48 + ? = 180

138 + ? = 180

? = 180 - 138

? = 42

42 degrees

need more detail

step-by-step explanation:

lele

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92