Answer:
∠4 = 82º
∠6 = 82º
∠7 = 157º
Explanation:
To find the measure of each missing angle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
Given:
m∠2 = 98º
m∠3 = 23º
m∠8 = 70º
To find the measure of ∠4, we can use the fact that ∠2 and ∠4 are supplementary angles (their measures add up to 180 degrees):
m∠4 + m∠2 = 180º
m∠4 + 98º = 180º
m∠4 = 180º - 98º
m∠4 = 82º
To find the measure of ∠7, we can use the fact that ∠3 and ∠7 are supplementary angles:
m∠3 + m∠7 = 180º
23º + m∠7 = 180º
m∠7 = 180º - 23º
m∠7 = 157º
To find the measure of ∠6, we can use the fact that ∠4 and ∠6 are vertical angles (they have the same measure):
m∠6 = m∠4
m∠6 = 82º
Therefore, the measure of each missing angle is:
∠4 = 82º
∠6 = 82º
∠7 = 157º