Question

Triangle Sums***GRADED 1 of 51 of 5 Items #1 Triangle RST is shown. What is the measure of ∠T? Record your answer and fill in the bubbles on the grid. Be sure to use correct place value.

Answer 1

`\angle T = 70`

Explanation:

Given

`\angle T= 2x`

`\angle S= 75`

`\angle R= x`

See attachment for triangle

Required

Calculate
`\angle T`

First, we add up the angles in the triangle;

`\angle R + \angle S + \angle T = 180`

`x + 75 + 2x = 180`

Collect like terms

`x + 2x = 180 - 75`

`3x = 105`

Solve for x

`x = (105)/(3)`

`x = 35`

Given that:

`\angle T= 2x`

`\angle T = 2 * 35`

`\angle T = 70`