Answer:
The measure of ∠3 is 96° and measure of ∠4 is 64°.
What is Triangle?
A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.
Given that;
In triangle,
Measure of first angle (m ∠1 ) = 43°
Measure of second angle (m ∠2) = 41°
Let measure of ∠4 = x degree
Now, Sum of all angles in a triangle be 180 degree.
So, We can formulate;
m∠1 + m∠2 + m∠3 = 180°
43° + 41° + x = 180°
84° + x = 180°
x = 180° - 84°
x = 96°
So, measure of ∠3 = 96°
Since, The measure of ∠3 and measure of ∠4 are supplementary angles.
Hence, We get;
m ∠3 + m ∠4 = 180°
96° + m ∠4 = 180°
m ∠4 = 180° - 96°
m ∠4 = 64°
Thus, The measure of ∠3 is 96° and measure of ∠4 is 64°.
Explanation: