Answer:


Step-by-step explanation:
Given :
...................... equation 1
........................ equation 2
solving the system of linear equation by substitution method , substitute equation 1 into equation 2 , that is



collect the like terms

therefore :

substitute
into equation 1 to find the value of y , that is


Therefore :


The measure of first angle is 34 degrees and measure of second angle is 56 degrees
<em><u>Solution:</u></em>
Given that, the exterior sides of two adjacent angles make a right angle
Therefore, these adjacent angles forms 90 degrees
Let the second angle be "x"
The first angle has a measure that is six more than half the second
Therefore,
first angle = 6 + half of "x"

Since these two angles forms 90 degrees,
first angle + second angle = 90

<em><u>Therefore, first angle is:</u></em>

Thus measure of first angle is 34 degrees and measure of second angle is 56 degrees
Answer:
Step-by-step explanation:
B
The unlabeled part of the right angle is complementary to 68 degrees, so 22 degrees. y is supplementary to 78 degrees, so 102 degrees. z as the third angle in the small triangle is 180 less than the sum of the other two,
z = 180 - 22 - 102
Answer: 56 degrees