Answer:
x = 33°
Step-by-step explanation:
x = 180° - 80° - 67° = 33°
The measures of two complementary angles are 64 degrees and 26 degrees
<h3><u>Solution:</u></h3>
Let the larger angle be "a" and smaller angle be "b"
<em>Two angles are Complementary when they add up to 90 degrees</em>
so we get,
a + b = 90 ------ eqn 1
Given that measure of the larger angle is 12 more than twice the measure of the smaller angle
larger angle = 12 + 2(smaller angle)
a = 12 + 2b --- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to get values of "a" and "b"</u></em>
Substitute eqn 2 in eqn 1
12 + 2b + b = 90
12 + 3b = 90
3b = 90 - 12
3b = 78
<h3>b = 26</h3>
Therefore from eqn 2,
a = 12 + 2b
a = 12 + 2(26)
a = 12 + 52
<h3>a = 64</h3>
Thus the measures of two complementary angles are 64 degrees and 26 degrees
K12 i just took the test and the answer is very simple the convert it to a decimal but in simplest form and the answer is 0
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1
Answer:
Given: 
, 
, 
, 
formed by two intersecting segments.
In the given figure;
Linear pair states that a pair adjacent angle formed when two lines intersect.
Then by definition of linear pairs,
and forms a linear pair
Also, and forms a linear pair.
Linear pair postulates states that the two angle that forms a linear pair are supplementary(i,e add up to 180 degree).
Then by linear pair postulates;
and
Substitution property of equality states that if x =y then, x can be substituted in for y or vice -versa.
then by substitution property of equality:
Addition property of equality states that:
if x =y, then x + z = y+ z
By addition property of equality:
hence proved!
Answer:
7
Step-by-step explanation:
