Pls help me with this problem​

67

Step-by-step explanation:

Use the triangle angle sum theorem. All interior angles of a triangle sum to 180 degrees. Angle b = 23, angle c = 90 (notice the marking in the triangle), angle a is what we need to find. Set the sum of all three of these equal to 180 to solve for angle a.

23+90+angle a= 180. Combine like terms

113 + angle a = 180. Subtract 113 from both sides.

Angle a = 67

67⁰

Step-by-step explanation:

According to the Triangle Sum Theorem, all three angles sum up to 180⁰.

<A + <B + <C = 180⁰

You are given the two angles. To find the third or the missing angle you will use the triangle sum thereom.

<A + <B + <C = 180⁰

90⁰ + 23⁰ + <C = 180⁰

113⁰ + <C = 180⁰

113⁰ - 113⁰ + <C = 180⁰ - 113⁰

<C = 67⁰

Hope this helps, thank you :) !!

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

ljn

step-by-step explanation: