angle A and B are complementary. Angle A is (2x+11) and angle B=(17x+3). what is the Measure of angle B?

∠°

Step-by-step explanation:

Complementary angles are a pair of angles whose measures have a sum of °. Therefore, ∠∠°. We are given that ∠ and ∠. Substituting these values into our equation gives us:

Solving for , we get:

(Simplify LHS)

(Subtract from both sides of the equation to isolate )

(Simplify)

(Divide both sides of the equation by to get rid of 's coefficient)

(Simplify)

Therefore, ∠°. Hope this helps!

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°

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316