△XYZ∼△RST. m∠X=50°, m∠S=79°. What is the measure of angle T?(1 point)
m∠T =
m∠T = Your patience - The number of times I've told a bad joke + The square root of how many licks it takes to get to the center of a Tootsie Pop.
51°
To find the measure of angle T, we can use the fact that the corresponding angles of similar triangles are equal.
Since ∆XYZ∼∆RST, the corresponding angles are ∠X = ∠R and ∠Y = ∠S.
Given that m∠X = 50° and m∠S = 79°, we can conclude that m∠R = 50° and m∠Y = 79°.
Since the sum of angles in a triangle is 180°, we can find the measure of angle T as follows:
m∠T = 180° - (m∠R + m∠S)
= 180° - (50° + 79°)
= 180° - 129°
= 51°
So, the measure of angle T is 51°.
i think the answer is 50, not 51
To find the measure of angle T, we can use the properties of similar triangles.
Since △XYZ is similar to △RST, the corresponding angles are congruent.
Given that m∠X = 50° and m∠S = 79°, we can set up a proportion using the corresponding angles:
m∠X/m∠S = m∠Y/m∠T
Substituting the given values:
50°/79° = m∠Y/m∠T
Now we can solve for m∠T:
Cross-multiplying:
79° * m∠Y = 50° * m∠T
Dividing both sides by 79°:
m∠Y = (50° * m∠T) / 79°
Since we need to find the measure of angle T, we can rearrange the equation:
m∠T = (79° * m∠Y) / 50°
So, to find the measure of angle T, we need the measure of angle Y in triangle XYZ.