Triangle x y z is shown. angle z w x is a right angle. an altitude is drawn from point w to point y on side z x to form a right angle. the length of w y is 4, the length of y x is a, the length of z y is 3, the length of z w is c, and the length of w x is b. what is the value of a? 5 units 5 and one-third units 6 and two-thirds units 7 units

the perimeter is increased by a factor of 2

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°

(3x-8) or (3x+8)

step-by-step explanation: