B) 94 square units

Step-by-step explanation:

you can divide the shape into 4 different rectangles.

the top left has a height of 2 and a width of 3 so the area is 6 units squared

the top right has a hight of 2 and a width of 4 so the area is 8 units squared

the middle has a height of (7-2=5) and a width of (8+4=12) so the area is 60 units squared

the bottom has the height of (12-7=5) and the width of 4 so the area is 20 units squared

add up all the areas

6+8+60+20=94

A because angle COB forms a right angle, and complementary angles add up to form 90°. Since ray D kind of intersects angle COB, the two angles formed will add up to 90.

These two angles are COD and DOB.

2.∠PQT and ∠TQS

Step-by-step explanation:

To Find : which pair of angles must be complementary?

Definition : Complementary angles are those whose sum is 90°

1.∠PQS and ∠SQR

These are supplementary angles . since their sum is 180°

2.∠PQT and ∠TQS

Since their sum is 90° hence complementary angles

3.∠PQT and ∠TQR

These are supplementary angles . since their sum is 180°

4.∠PQT and ∠PQS

Since ∠PQS =90° (given).

so, adding ∠PQT will increase its measure .

Hence not complementary angles

x = 67

Step-by-step explanation:

60+53+x = 180

The degrees of a triangle always equal 180

113+x = 180

Subtract the 113 from the 180

x= 67

x = 67

Step-by-step explanation:

60+53+x = 180

The degrees of a triangle always equal 180

113+x = 180

Subtract the 113 from the 180

x= 67

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