Answer:
m<ACD =
Step-by-step explanation:
From the question given, ΔACD is a right angled triangle. Then we can apply one of the properties of a triangle to it.
In the triangle ACD:
<ACD + <DAC + <ADC = 180 (sum of angles in a triangle)
<ACD + 40 + 90 = 180
<ACD + 130 = 180
<ACD = 180 - 130
<ACD =
With the application of the property of the sum of interior angles of a triangle, the measure of <ACD is .
The answer is:
To solve the problem, we need to perform the operations and then, add like terms.
We need to apply the distributive property, which is defined by the following way:
Also, we need to remember how to add like terms. Like terms are terms that share the same exponent and the same variable, for example:
We were able to add only the first two terms since they are like terms, both are sharing the same exponent and the same variable.
So, we are given the expression:
Then, solving we have:
Hence, we have that the answer is:
Have a nice day!
