Question

Need Help Asap Find the measure of a base angle using the Triangle Sum Theorem

Answer 1

`\quad \huge \quad \quad \boxed{ \tt \:Answer }`

`\qquad \tt \rightarrow \:Base \:\: Angle=3x = 45°`

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`\large \tt Solution \: :`

Property of Triangle : sum of all interior angles of a triangle is 180°

`\qquad \tt \rightarrow \: 5x + 15 + 3x + 3x = 180`

`\qquad \tt \rightarrow \: 5x + 3x + 3x + 15 = 180`

`\qquad \tt \rightarrow \: 11x = 180 - 15`

`\qquad \tt \rightarrow \:11 x = 165`

`\qquad \tt \rightarrow \: x = 165 / 11`

`\qquad \tt \rightarrow \: x = 15`

Value of x is 15°, base angle is 3x :

`\qquad \tt \rightarrow \: base \: \: angle = 3x = 3 * 15 = 45 \degree`

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer 2

45°

Explanation:

Given:

• Angles are (5x+15)°, 3x° and 3x°.

To Find:

• Measure of base angle.

Concept used:

• Sum of all interior angles in a triangle is equal to 180° .

Using the above concept, we have

5x + 15 + 3x + 3x = 180

11x = 165

x = 165/11

x = 15

So, 3x = 3*15 = 45°

So, the measure of base angle is 45°