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

Answer:

$\angle T = 70$

Step-by-step 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

$x = \frac{105}{3}$

$x = 35$

Given that:

$\angle T= 2x$

$\angle T = 2 * 35$

$\angle T = 70$