Question

FIND MEASURES OF TWO COMPLEMENTARY ANGLES, ANGLE ABD=3X+15, ANGLE DBC= 4X+12

FIND X AND MEASURE OF ANGLE ABD AND ANGLE DBC
ANGLE DBC
X=
ANGLE ABD

Answer 1

The value of x is 9, and the measures of angles ABD and DBC are 42° and 48° respectively, when they are complementary angles.

Step-by-step explanation:

To find the value of x and the measures of angle ABD and angle DBC when they are complementary, we set up the equation (3x + 15) + (4x + 12) = 90.

Solving this equation:

• 3x + 15 + 4x + 12 = 90
• 7x + 27 = 90
• 7x = 90 - 27
• 7x = 63
• x = 9

With the value of x, we find the measure of each angle:

• angle ABD = 3x + 15

= 3(9) + 15

= 27 + 15

= 42°

• angle DBC = 4x + 12

= 4(9) + 12

= 36 + 12

= 48°