Question

3. Use the diagram 2 and 3 are ____ angles 1. complementary 2. vertical 3. right 4. supplementary
4. Use the diagram 2 and 4 are ____ angles 1. complementary 2. vertical 3. right 4. supplementary
5. Find m ABC if the line BD bisects ABC and given m ABD= 5x and m DBC= 3x+10

Answer 1

#3

2 and three are supplementary angles .

#4.

The answer is opposite angles .

• Hence there is no option

#5

Bisected angles are equal

$\\ \sf\longmapsto 5x=3x+10$

$\\ \sf\longmapsto 5x-3x=10$

$\\ \sf\longmapsto 2x=10$

$\\ \sf\longmapsto x=\dfrac{10}{2}$

$\\ \sf\longmapsto x=5$

Now

m<ABC

$\\ \sf\longmapsto 5x+3x+10$

$\\ \sf\longmapsto 8x+10$

$\\ \sf\longmapsto 8(5)+10$

$\\ \sf\longmapsto 40+10$

$\\ \sf\longmapsto 50$

Answer 2

Step-by-step explanation:

3)

2 and 3 are supplementary angles. because after adding them, you will get 180°.

4)

2 and 4 are Vertical angles because they are in vertically opposite side to each other.

5)

5x=3x+10

5x-3x=10

2x=10

x=10/2

x=5