In the figure, angle d measures 31⁰ and angle a measures 27⁰

1.the measurement of angle b is
a.59⁰
b.63⁰
c.90⁰
2. the measurement of angle f is
a.59⁰
b.63⁰
c.90⁰

1)B:63°

2)A:59°

Step-by-step explanation:

1.ABC is a right triangle at C then angle ACB=90°(right angle)

Angle CAB=27°(see the given)

measure of the angles in any triangle is 180°

then angle CBA=

measure of all the angles - (measure ACB+measure CAB)

=180°-(90°+27°)

=63°

2. Same explanation of angle B:

in the right triangle DEF: angle DEF=90°

angle D=31°(given)

Then measure of angle A=180°-(angle E + angle D)

=180-(90+31)=59°

$450

step-by-step explanation:

first, you have to multiply 150x2=300

next, you have to add 150+300= 450