1). 10 = 4x +x 2). -6 = -2x -5 -1

3). -15 = 2v +v

4). -6 = 2v +4v

5). -2x +x = 5

6). -a -a = -8

7). -5p -6p = 0

8).-3k -6k = -9

9). 38 +7x = 5(1+8x)

10). -30 -8x = -6(x+5)

11).4(-4n+12)= 3(n-3)

12). 2(5+5x) = 8(x+1)

explain step by step plzzz

Step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°