The measurement of one angle of a right triangle is 43 degrees what is the measurement of the third angle

The third angle is 47 degrees

Step-by-step explanation:

It says in the question that it is a "right triangle", so that means that there has to be one 90 degree angle (right angle). A triangle's angles always add up to 180 degrees so you can just add 90 and 43 and subtract the sum from 180:

180 - (43 + 90) = a

180 - 133 = a

47 = a

That means that the third angle is 47 degrees.

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°

step-by-step explanation: it is d