Applying the angle addition postulate, the measure of angle RST is: 66°.
<h3>What is the Angle Addition Postulate?</h3>
If two angles share a common vertex and a common side, they are adjacent angles that form a larger angle. According to the angle addition postulate, the sum of these two adjacent angles will give a sum that is equal to the measure of the larger angle they both form.
We know the following:
Measure of angle RSU = 43º
Measure of angle UST = 23º
In the diagram given, angle RSU and angle UST are adjacent angles that form a larger angle, angle RST.
Therefore, based on the angle addition postulate, the measure of angle RST = sum of the measures of angles RSU and UST.
Therefore, we would have:
m∠RST = m∠RSU + m∠UST
Substitute
m∠RST = 43 + 23
m∠RST = 66°
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A(11)= -62 + (11-1)8
-62 + 80
a(11)=18
Answer:
distributive property of multiplication over addition
Step-by-step explanation:
The distributive property of multiplication over addition:
a(b + c) = ab + ac
You have
-4(x + 4) = -4x - 16
which is an application of that property.
Answer: distributive property of multiplication over addition
Answer: No, the angles cannot form a triangle.
Step-by-step explanation:
Angle angle B is half the size of angle A. This means that
A = 2B
The measure of angle C is equal to 1 less than 2 times the measure of angle B. This means that
C = 2B - 1
The sum of the angle A and angle B is 114. This means that
A+B = 114
Substituting A = 2B into (A+B = 114), it becomes
2B + B = 114
3B = 114
B = 114/3 = 38 degrees
A = 114 - 38 = 76
C = 2B - 1
C = 2×38 - 1 = 76 - 1
C = 75
Recall, sum of angles in a triangle is 180 degrees. This means that
A + B+ C = 180 degrees. T
Therefore, if we add add angle A, angle B and angle C, it becomes
76 + 38 + 75 = 189 degrees
The sum is more than the sum of the angles in a triangle. Therefore, the angles cannot form a triangle.
Answer:
10x - 6y = 30
Step-by-step explanation:
