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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.

Sagot :

MrRoyalidn

Answer:

[tex]\angle T = 70[/tex]

Step-by-step explanation:

Given

[tex]\angle T= 2x[/tex]

[tex]\angle S= 75[/tex]

[tex]\angle R= x[/tex]

See attachment for triangle

Required

Calculate [tex]\angle T[/tex]

First, we add up the angles in the triangle;

[tex]\angle R + \angle S + \angle T = 180[/tex]

[tex]x + 75 + 2x = 180[/tex]

Collect like terms

[tex]x + 2x = 180 - 75[/tex]

[tex]3x = 105[/tex]

Solve for x

[tex]x = \frac{105}{3}[/tex]

[tex]x = 35[/tex]

Given that:

[tex]\angle T= 2x[/tex]

[tex]\angle T = 2 * 35[/tex]

[tex]\angle T = 70[/tex]

View image MrRoyal
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